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213326678312 = 231117314797871
BaseRepresentation
bin1100011010101101000…
…0101100100100101000
3202101122002210002100122
43012223100230210220
511443343112201222
6242000111022412
721261301563356
oct3065320544450
9671562702318
10213326678312
1182520391930
123541680aa08
131716929ca47
14a479da67d6
155838404a42
hex31ab42c928

213326678312 has 128 divisors (see below), whose sum is σ = 487073710080. Its totient is φ = 86438784000.

The previous prime is 213326678267. The next prime is 213326678339. The reversal of 213326678312 is 213876623312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2130737 + ... + 2228607.

It is an arithmetic number, because the mean of its divisors is an integer number (3805263360).

Almost surely, 2213326678312 is an apocalyptic number.

213326678312 is a gapful number since it is divisible by the number (22) 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 213326678312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243536855040).

213326678312 is an abundant number, since it is smaller than the sum of its proper divisors (273747031768).

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

213326678312 is a wasteful number, since it uses less digits than its factorization.

213326678312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97983 (or 97979 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The spelling of 213326678312 in words is "two hundred thirteen billion, three hundred twenty-six million, six hundred seventy-eight thousand, three hundred twelve".

Divisors: 1 2 4 8 11 17 22 31 34 44 47 62 68 88 94 124 136 187 188 248 341 374 376 517 527 682 748 799 1034 1054 1364 1457 1496 1598 2068 2108 2728 2914 3196 4136 4216 5797 5828 6392 8789 11594 11656 16027 17578 23188 24769 32054 35156 46376 49538 64108 70312 97871 99076 128216 195742 198152 272459 391484 544918 782968 1076581 1089836 1663807 2153162 2179672 3034001 3327614 4306324 4599937 6068002 6655228 8612648 9199874 12136004 13310456 18301877 18399748 24272008 33374011 36603754 36799496 50599307 51578017 66748022 73207508 78198929 101198614 103156034 133496044 142598047 146415016 156397858 202397228 206312068 266992088 285196094 312795716 404794456 412624136 567358187 570392188 625591432 860188219 1134716374 1140784376 1568578517 1720376438 2269432748 2424166799 3137157034 3440752876 4538865496 4848333598 6274314068 6881505752 9696667196 12548628136 19393334392 26665834789 53331669578 106663339156 213326678312