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313202001996 = 223313227761949
BaseRepresentation
bin1001000111011000100…
…10110100100001001100
31002221102120211012212000
410203230102310201030
520112414203030441
6355514421512300
731425303043152
oct4435422644114
91087376735760
10313202001996
11110912401854
125084a872690
13236c5008c00
14112326513d2
1582317132b6
hex48ec4b484c

313202001996 has 144 divisors (see below), whose sum is σ = 882460404000. Its totient is φ = 96020391168.

The previous prime is 313202001977. The next prime is 313202002039. The reversal of 313202001996 is 699100202313.

It is a happy number.

313202001996 is a `hidden beast` number, since 31 + 320 + 200 + 19 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 313202001996.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5024830 + ... + 5086778.

It is an arithmetic number, because the mean of its divisors is an integer number (6128197250).

Almost surely, 2313202001996 is an apocalyptic number.

313202001996 is a gapful number since it is divisible by the number (36) 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 313202001996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441230202000).

313202001996 is an abundant number, since it is smaller than the sum of its proper divisors (569258402004).

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

313202001996 is a wasteful number, since it uses less digits than its factorization.

313202001996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62265 (or 62244 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 313202001996 in words is "three hundred thirteen billion, two hundred two million, one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 277 338 351 468 507 554 676 702 831 1014 1108 1404 1521 1662 2028 2493 3042 3324 3601 4563 4986 6084 7202 7479 9126 9972 10803 14404 14958 18252 21606 29916 32409 43212 46813 61949 64818 93626 97227 123898 129636 140439 185847 187252 194454 247796 280878 371694 388908 421317 557541 561756 743388 805337 842634 1115082 1263951 1610674 1672623 1685268 2230164 2416011 2527902 3221348 3345246 4832022 5055804 6690492 7248033 9664044 10469381 14496066 17159873 20938762 21744099 28992132 31408143 34319746 41877524 43488198 51479619 62816286 68639492 86976396 94224429 102959238 125632572 154438857 188448858 205918476 223078349 282673287 308877714 376897716 446156698 463316571 565346574 617755428 669235047 892313396 926633142 1130693148 1338470094 1853266284 2007705141 2676940188 2900018537 4015410282 5800037074 6023115423 8030820564 8700055611 11600074148 12046230846 17400111222 24092461692 26100166833 34800222444 52200333666 78300500499 104400667332 156601000998 313202001996