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102011013033330 = 235174342577109253
BaseRepresentation
bin10111001100011101001010…
…001100011110110101110010
3111101012011020220010102212010
4113030131022030132311302
5101332322023314031310
61000543113515143350
730326023666655232
oct2714351214366562
9441164226112763
10102011013033330
112a55a69a4879a5
12b536501a44b56
1344bc79c21908b
141b295061a5cc2
15bbd819563320
hex5cc74a31ed72

102011013033330 has 128 divisors (see below), whose sum is σ = 265265201887488. Its totient is φ = 25006534705152.

The previous prime is 102011013033269. The next prime is 102011013033389. The reversal of 102011013033330 is 33330310110201.

It is a junction number, because it is equal to n+sod(n) for n = 102011013033297 and 102011013033306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 933658984 + ... + 933768236.

It is an arithmetic number, because the mean of its divisors is an integer number (2072384389746).

Almost surely, 2102011013033330 is an apocalyptic number.

102011013033330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102011013033330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132632600943744).

102011013033330 is an abundant number, since it is smaller than the sum of its proper divisors (163254188854158).

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

102011013033330 is a wasteful number, since it uses less digits than its factorization.

102011013033330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151900.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 102011013033330 its reverse (33330310110201), we get a palindrome (135341323143531).

The spelling of 102011013033330 in words is "one hundred two trillion, eleven billion, thirteen million, thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 430 510 645 731 1290 1462 2193 3655 4386 7310 10965 21930 42577 85154 109253 127731 212885 218506 255462 327759 425770 546265 638655 655518 723809 1092530 1277310 1447618 1638795 1830811 1857301 2171427 3277590 3619045 3661622 3714602 4342854 4697879 5492433 5571903 7238090 9154055 9286505 9395758 10857135 10984866 11143806 14093637 18308110 18573010 21714270 23489395 27462165 27859515 28187274 31123787 46978790 54924330 55719030 62247574 70468185 79863943 93371361 140936370 155618935 159727886 186742722 239591829 311237870 399319715 466856805 479183658 798639430 933713610 1197959145 2395918290 4651664981 9303329962 13954994943 23258324905 27909989886 46516649810 69774974715 79078304677 139549949430 158156609354 200021594183 237234914031 395391523385 400043188366 474469828062 600064782549 790783046770 1000107970915 1186174570155 1200129565098 2000215941830 2372349140310 3000323912745 3400367101111 6000647825490 6800734202222 10201101303333 17001835505555 20402202606666 34003671011110 51005506516665 102011013033330