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10142021232 = 2433710313253
BaseRepresentation
bin10010111001000001…
…01111011001110000
3222011211000001122000
421130200233121300
5131232324134412
64354214414000
7506220521010
oct113440573160
928154001560
1010142021232
1143349a7732
121b70661300
13c582547c5
146c2d71c40
153e55b34dc
hex25c82f670

10142021232 has 160 divisors (see below), whose sum is σ = 33312629760. Its totient is φ = 2894019840.

The previous prime is 10142021231. The next prime is 10142021243. The reversal of 10142021232 is 23212024101.

It is a happy number.

10142021232 is a `hidden beast` number, since 1 + 0 + 1 + 420 + 212 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142021231) 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, 3116118 + ... + 3119370.

It is an arithmetic number, because the mean of its divisors is an integer number (208203936).

Almost surely, 210142021232 is an apocalyptic number.

10142021232 is a gapful number since it is divisible by the number (12) 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 10142021232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656314880).

10142021232 is an abundant number, since it is smaller than the sum of its proper divisors (23170608528).

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

10142021232 is a wasteful number, since it uses less digits than its factorization.

10142021232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10142021232 its reverse (23212024101), we get a palindrome (33354045333).

The spelling of 10142021232 in words is "ten billion, one hundred forty-two million, twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1031 1512 2062 3024 3093 3253 4124 6186 6506 7217 8248 9279 9759 12372 13012 14434 16496 18558 19518 21651 22771 24744 26024 27837 28868 29277 37116 39036 43302 45542 49488 52048 55674 57736 58554 64953 68313 74232 78072 86604 87831 91084 111348 115472 117108 129906 136626 148464 156144 173208 175662 182168 194859 204939 222696 234216 259812 273252 346416 351324 364336 389718 409878 445392 468432 519624 546504 614817 702648 779436 819756 1039248 1093008 1229634 1405296 1558872 1639512 2459268 3117744 3279024 3353843 4918536 6707686 9837072 10061529 13415372 20123058 23476901 26830744 30184587 40246116 46953802 53661488 60369174 70430703 80492232 90553761 93907604 120738348 140861406 160984464 181107522 187815208 211292109 241476696 281722812 362215044 375630416 422584218 482953392 563445624 633876327 724430088 845168436 1126891248 1267752654 1448860176 1690336872 2535505308 3380673744 5071010616 10142021232