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315114132 = 223314767269
BaseRepresentation
bin10010110010000…
…100001010010100
3210221221110022210
4102302010022110
51121132123012
651133553420
710544266044
oct2262041224
9727843283
10315114132
11151967a03
1289645870
1350390388
142dbc9724
151c9e723c
hex12c84294

315114132 has 96 divisors (see below), whose sum is σ = 789626880. Its totient is φ = 97637760.

The previous prime is 315114131. The next prime is 315114143. The reversal of 315114132 is 231411513.

It is a super-2 number, since 2×3151141322 = 198593832372226848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315114099 and 315114108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315114131) 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, 1171294 + ... + 1171562.

It is an arithmetic number, because the mean of its divisors is an integer number (8225280).

Almost surely, 2315114132 is an apocalyptic number.

It is an amenable number.

315114132 is an abundant number, since it is smaller than the sum of its proper divisors (474512748).

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

315114132 is a wasteful number, since it uses less digits than its factorization.

315114132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 315114132 is about 17751.4543629529. The cubic root of 315114132 is about 680.4913778251.

Adding to 315114132 its reverse (231411513), we get a palindrome (546525645).

The spelling of 315114132 in words is "three hundred fifteen million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 47 62 67 93 94 124 134 141 186 188 201 268 269 282 372 402 538 564 804 807 1076 1457 1614 2077 2914 3149 3228 4154 4371 5828 6231 6298 8308 8339 8742 9447 12462 12596 12643 16678 17484 18023 18894 24924 25017 25286 33356 36046 37788 37929 50034 50572 54069 72092 75858 97619 100068 108138 151716 195238 216276 292857 390476 391933 558713 585714 783866 847081 1117426 1171428 1175799 1567732 1676139 1694162 2234852 2351598 2541243 3352278 3388324 4703196 5082486 6704556 10164972 26259511 52519022 78778533 105038044 157557066 315114132