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10121123232 = 2533111064933
BaseRepresentation
bin10010110110100010…
…00001010110100000
3222010100200022222000
421123101001112200
5131212001420412
64352150444000
7505545061623
oct113321012640
928110608860
1010121123232
114324123760
121b65663600
13c53b1871c
146c0291dba
153e38364dc
hex25b4415a0

10121123232 has 96 divisors (see below), whose sum is σ = 32203604160. Its totient is φ = 3067004160.

The previous prime is 10121123231. The next prime is 10121123239. The reversal of 10121123232 is 23232112101.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (10121123231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522963 + ... + 541970.

It is an arithmetic number, because the mean of its divisors is an integer number (335454210).

Almost surely, 210121123232 is an apocalyptic number.

10121123232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121123232 is an abundant number, since it is smaller than the sum of its proper divisors (22082480928).

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

10121123232 is a wasteful number, since it uses less digits than its factorization.

10121123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064963 (or 1064949 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10121123232 its reverse (23232112101), we get a palindrome (33353235333).

The spelling of 10121123232 in words is "ten billion, one hundred twenty-one million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 1064933 2129866 3194799 4259732 6389598 8519464 9584397 11714263 12779196 17038928 19168794 23428526 25558392 28753191 34077856 35142789 38337588 46857052 51116784 57506382 70285578 76675176 93714104 102233568 105428367 115012764 140571156 153350352 187428208 210856734 230025528 281142312 306700704 316285101 374856416 421713468 460051056 562284624 632570202 843426936 920102112 1124569248 1265140404 1686853872 2530280808 3373707744 5060561616 10121123232