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10123232100 = 22352412713037
BaseRepresentation
bin10010110110110010…
…00100001101100100
3222010111122110210020
421123121010031210
5131213021411400
64352303555140
7505602024132
oct113331041544
928114573706
1010123232100
114325334123
121b662bbab0
13c543a6587
146c0680752
153e3b012a0
hex25b644364

10123232100 has 144 divisors (see below), whose sum is σ = 30124905216. Its totient is φ = 2623104000.

The previous prime is 10123232089. The next prime is 10123232113. The reversal of 10123232100 is 123232101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10123232100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3331782 + ... + 3334818.

Almost surely, 210123232100 is an apocalyptic number.

10123232100 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 10123232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15062452608).

10123232100 is an abundant number, since it is smaller than the sum of its proper divisors (20001673116).

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

10123232100 is a wasteful number, since it uses less digits than its factorization.

10123232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10123232100 its reverse (123232101), we get a palindrome (10246464201).

Subtracting from 10123232100 its reverse (123232101), we obtain a palindrome (9999999999).

The spelling of 10123232100 in words is "ten billion, one hundred twenty-three million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 271 300 410 492 542 615 813 820 1025 1084 1230 1355 1626 2050 2460 2710 3037 3075 3252 4065 4100 5420 6074 6150 6775 8130 9111 11111 12148 12300 13550 15185 16260 18222 20325 22222 27100 30370 33333 36444 40650 44444 45555 55555 60740 66666 75925 81300 91110 111110 124517 133332 151850 166665 182220 222220 227775 249034 277775 303700 333330 373551 455550 498068 555550 622585 666660 747102 823027 833325 911100 1111100 1245170 1494204 1646054 1666650 1867755 2469081 2490340 3112925 3292108 3333300 3735510 4115135 4938162 6225850 7471020 8230270 9338775 9876324 12345405 12451700 16460540 18677550 20575675 24690810 33744107 37355100 41151350 49381620 61727025 67488214 82302700 101232321 123454050 134976428 168720535 202464642 246908100 337441070 404929284 506161605 674882140 843602675 1012323210 1687205350 2024646420 2530808025 3374410700 5061616050 10123232100