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10201311232 = 21171674261
BaseRepresentation
bin10011000000000101…
…11010100000000000
3222022221120022012221
421200002322200000
5131343013424412
64404133300424
7510540500110
oct114002724000
928287508187
1010201311232
114365413132
121b88494714
13c67613548
146caba7040
153ea8c5b07
hex2600ba800

10201311232 has 96 divisors (see below), whose sum is σ = 23456684160. Its totient is φ = 4344791040.

The previous prime is 10201311191. The next prime is 10201311277. The reversal of 10201311232 is 23211310201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2391982 + ... + 2396242.

It is an arithmetic number, because the mean of its divisors is an integer number (244340460).

Almost surely, 210201311232 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 10201311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11728342080).

10201311232 is an abundant number, since it is smaller than the sum of its proper divisors (13255372928).

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

10201311232 is an equidigital number, since it uses as much as digits as its factorization.

10201311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10201311232 its reverse (23211310201), we get a palindrome (33412621433).

The spelling of 10201311232 in words is "ten billion, two hundred one million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 167 224 256 334 448 512 668 896 1024 1169 1336 1792 2048 2338 2672 3584 4261 4676 5344 7168 8522 9352 10688 14336 17044 18704 21376 29827 34088 37408 42752 59654 68176 74816 85504 119308 136352 149632 171008 238616 272704 299264 342016 477232 545408 598528 711587 954464 1090816 1197056 1423174 1908928 2181632 2394112 2846348 3817856 4363264 4981109 5692696 7635712 8726528 9962218 11385392 15271424 19924436 22770784 30542848 39848872 45541568 61085696 79697744 91083136 159395488 182166272 318790976 364332544 637581952 728665088 1275163904 1457330176 2550327808 5100655616 10201311232