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315323214012 = 223353223247031
BaseRepresentation
bin1001001011010101011…
…10100110100010111100
31010010220102020221201000
410211222232212202330
520131240220322022
6400505114450300
731532001044562
oct4455256464274
91103812227630
10315323214012
11111800808834
1251141133990
1323972612a51
141139425da32
158307a6a6ac
hex496aba68bc

315323214012 has 96 divisors (see below), whose sum is σ = 836667740160. Its totient is φ = 102661715520.

The previous prime is 315323213993. The next prime is 315323214013. The reversal of 315323214012 is 210412323513.

315323214012 is a `hidden beast` number, since 315 + 323 + 2 + 14 + 0 + 12 = 666.

It is a super-2 number, since 2×3153232140122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315323214013) 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, 1152937 + ... + 1399967.

It is an arithmetic number, because the mean of its divisors is an integer number (8715288960).

Almost surely, 2315323214012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315323214012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418333870080).

315323214012 is an abundant number, since it is smaller than the sum of its proper divisors (521344526148).

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

315323214012 is a wasteful number, since it uses less digits than its factorization.

315323214012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247320 (or 247312 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 315323214012 its reverse (210412323513), we get a palindrome (525735537525).

The spelling of 315323214012 in words is "three hundred fifteen billion, three hundred twenty-three million, two hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 223 318 446 477 636 669 892 954 1338 1431 1908 2007 2676 2862 4014 5724 6021 8028 11819 12042 23638 24084 35457 47276 70914 106371 141828 212742 247031 319113 425484 494062 638226 741093 988124 1276452 1482186 2223279 2964372 4446558 6669837 8893116 13092643 13339674 26185286 26679348 39277929 52370572 55087913 78555858 110175826 117833787 157111716 165263739 220351652 235667574 330527478 353501361 471335148 495791217 661054956 707002722 991582434 1414005444 1487373651 1983164868 2919659389 2974747302 5839318778 5949494604 8758978167 11678637556 17517956334 26276934501 35035912668 52553869002 78830803503 105107738004 157661607006 315323214012