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102011223000 = 2335365951599
BaseRepresentation
bin101111100000001010…
…1111011101111011000
3100202022100010001112110
41133000111323233120
53132404333114000
6114510250312320
710240635042261
oct1370025735730
9322270101473
10102011223000
113a298748775
121792b4286a0
1398093b621b
144d1a1db968
1529c0ab7850
hex17c057bbd8

102011223000 has 128 divisors (see below), whose sum is σ = 318764160000. Its totient is φ = 27161187200.

The previous prime is 102011222983. The next prime is 102011223001. The reversal of 102011223000 is 322110201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102011223001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1951201 + ... + 2002799.

It is an arithmetic number, because the mean of its divisors is an integer number (2490345000).

Almost surely, 2102011223000 is an apocalyptic number.

102011223000 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 102011223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159382080000).

102011223000 is an abundant number, since it is smaller than the sum of its proper divisors (216752937000).

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

102011223000 is a wasteful number, since it uses less digits than its factorization.

102011223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52282 (or 52268 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102011223000 its reverse (322110201), we get a palindrome (102333333201).

The spelling of 102011223000 in words is "one hundred two billion, eleven million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 659 750 1000 1318 1500 1977 2636 3000 3295 3954 5272 6590 7908 9885 13180 15816 16475 19770 26360 32950 39540 49425 51599 65900 79080 82375 98850 103198 131800 154797 164750 197700 206396 247125 257995 309594 329500 395400 412792 494250 515990 619188 659000 773985 988500 1031980 1238376 1289975 1547970 1977000 2063960 2579950 3095940 3869925 5159900 6191880 6449875 7739850 10319800 12899750 15479700 19349625 25799500 30959400 34003741 38699250 51599000 68007482 77398500 102011223 136014964 154797000 170018705 204022446 272029928 340037410 408044892 510056115 680074820 816089784 850093525 1020112230 1360149640 1700187050 2040224460 2550280575 3400374100 4080448920 4250467625 5100561150 6800748200 8500935250 10201122300 12751402875 17001870500 20402244600 25502805750 34003741000 51005611500 102011223000