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23010601032 = 2332372474967
BaseRepresentation
bin10101011011100010…
…011110100001001000
32012101122111122110200
4111123202132201020
5334111203213112
614323153012200
71443136611246
oct253342364110
965348448420
1023010601032
119838980151
124562254060
132229331473
14118408b796
158ea205cdc
hex55b89e848

23010601032 has 144 divisors (see below), whose sum is σ = 65426175360. Its totient is φ = 7302642048.

The previous prime is 23010601021. The next prime is 23010601037.

23010601032 is a `hidden beast` number, since 2 + 30 + 1 + 0 + 601 + 0 + 32 = 666.

23010601032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23010600996 and 23010601014.

It is not an unprimeable number, because it can be changed into a prime (23010601037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4630213 + ... + 4635179.

It is an arithmetic number, because the mean of its divisors is an integer number (454348440).

Almost surely, 223010601032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23010601032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32713087680).

23010601032 is an abundant number, since it is smaller than the sum of its proper divisors (42415574328).

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

23010601032 is a wasteful number, since it uses less digits than its factorization.

23010601032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The spelling of 23010601032 in words is "twenty-three billion, ten million, six hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 47 72 74 94 111 141 148 188 222 282 296 333 376 423 444 564 666 846 888 1128 1332 1369 1692 1739 2664 2738 3384 3478 4107 4967 5217 5476 6956 8214 9934 10434 10952 12321 13912 14901 15651 16428 19868 20868 24642 29802 31302 32856 39736 41736 44703 49284 59604 62604 64343 89406 98568 119208 125208 128686 178812 183779 193029 233449 257372 357624 367558 386058 466898 514744 551337 579087 700347 735116 772116 933796 1102674 1158174 1400694 1470232 1544232 1654011 1867592 2101041 2205348 2316348 2801388 3308022 4202082 4410696 4632696 5602776 6616044 6799823 8404164 8637613 13232088 13599646 16808328 17275226 20399469 25912839 27199292 34550452 40798938 51825678 54398584 61198407 69100904 77738517 81597876 103651356 122396814 155477034 163195752 207302712 244793628 310954068 319591681 489587256 621908136 639183362 958775043 1278366724 1917550086 2556733448 2876325129 3835100172 5752650258 7670200344 11505300516 23010601032