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102111232320300 = 22352765817388603
BaseRepresentation
bin10111001101111010011111…
…101110101110001100101100
3111101112201221100101201021110
4113031322133232232030230
5101340442300433222200
61001101130314232020
730336202345600320
oct2715723756561454
9441481840351243
10102111232320300
112a5991486795a5
12b551a11125610
1344c90812a6808
141b302d23c9980
15bc1232b66b50
hex5cde9fbae32c

102111232320300 has 144 divisors (see below), whose sum is σ = 337699160370432. Its totient is φ = 23336160556800.

The previous prime is 102111232320287. The next prime is 102111232320313. The reversal of 102111232320300 is 3023232111201.

It is an interprime number because it is at equal distance from previous prime (102111232320287) and next prime (102111232320313).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10125799 + ... + 17514401.

It is an arithmetic number, because the mean of its divisors is an integer number (2345133058128).

Almost surely, 2102111232320300 is an apocalyptic number.

102111232320300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111232320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168849580185216).

102111232320300 is an abundant number, since it is smaller than the sum of its proper divisors (235587928050132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102111232320300 is a wasteful number, since it uses less digits than its factorization.

102111232320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395208 (or 7395201 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102111232320300 its reverse (3023232111201), we get a palindrome (105134464431501).

The spelling of 102111232320300 in words is "one hundred two trillion, one hundred eleven billion, two hundred thirty-two million, three hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 6581 13162 19743 26324 32905 39486 46067 65810 78972 92134 98715 131620 138201 164525 184268 197430 230335 276402 329050 394860 460670 493575 552804 658100 691005 921340 987150 1151675 1382010 1974300 2303350 2764020 3455025 4606700 6910050 7388603 13820100 14777206 22165809 29554412 36943015 44331618 51720221 73886030 88663236 103440442 110829045 147772060 155160663 184715075 206880884 221658090 258601105 310321326 369430150 443316180 517202210 554145225 620642652 738860300 775803315 1034404420 1108290450 1293005525 1551606630 2216580900 2586011050 3103213260 3879016575 5172022100 7758033150 15516066300 48624396343 97248792686 145873189029 194497585372 243121981715 291746378058 340370774401 486243963430 583492756116 680741548802 729365945145 972487926860 1021112323203 1215609908575 1361483097604 1458731890290 1701853872005 2042224646406 2431219817150 2917463780580 3403707744010 3646829725725 4084449292812 4862439634300 5105561616015 6807415488020 7293659451450 8509269360025 10211123232030 14587318902900 17018538720050 20422246464060 25527808080075 34037077440100 51055616160150 102111232320300