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12433010112 = 263417141079
BaseRepresentation
bin10111001010001000…
…01010110111000000
31012002110220100120000
423211010022313000
5200430322310422
65413414320000
7620046561615
oct134504126700
935073810500
1012433010112
115300123576
1224ab959000
131231a93223
1485d33650c
154cb7a4cac
hex2e510adc0

12433010112 has 140 divisors (see below), whose sum is σ = 39023574480. Its totient is φ = 3900524544.

The previous prime is 12433010053. The next prime is 12433010113. The reversal of 12433010112 is 21101033421.

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 (12433010113) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17589 + ... + 158667.

Almost surely, 212433010112 is an apocalyptic number.

12433010112 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 12433010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19511787240).

12433010112 is an abundant number, since it is smaller than the sum of its proper divisors (26590564368).

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

12433010112 is a wasteful number, since it uses less digits than its factorization.

12433010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141120 (or 141101 counting only the distinct ones).

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

Adding to 12433010112 its reverse (21101033421), we get a palindrome (33534043533).

The spelling of 12433010112 in words is "twelve billion, four hundred thirty-three million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29376 44064 88128 141079 282158 423237 564316 846474 1128632 1269711 1692948 2257264 2398343 2539422 3385896 3809133 4514528 4796686 5078844 6771792 7195029 7618266 9029056 9593372 10157688 11427399 13543584 14390058 15236532 19186744 20315376 21585087 22854798 27087168 28780116 30473064 38373488 40630752 43170174 45709596 57560232 60946128 64755261 76746976 81261504 86340348 91419192 115120464 121892256 129510522 153493952 172680696 182838384 194265783 230240928 243784512 259021044 345361392 365676768 388531566 460481856 518042088 690722784 731353536 777063132 1036084176 1381445568 1554126264 2072168352 3108252528 4144336704 6216505056 12433010112