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317131811004 = 2231767109212867
BaseRepresentation
bin1001001110101101000…
…01110110100010111100
31010022120110110012100210
410213112201312202330
520143441220423004
6401404403152420
731624551626241
oct4472641664274
91108513405323
10317131811004
11112549704498
1251566975710
1323ba0222b98
14114c65335c8
1583b1721089
hex49d68768bc

317131811004 has 96 divisors (see below), whose sum is σ = 802495330560. Its totient is φ = 97107766272.

The previous prime is 317131810909. The next prime is 317131811011. The reversal of 317131811004 is 400118131713.

It is a congruent number.

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, 1383379 + ... + 1596245.

It is an arithmetic number, because the mean of its divisors is an integer number (8359326360).

Almost surely, 2317131811004 is an apocalyptic number.

317131811004 is a gapful number since it is divisible by the number (34) 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 317131811004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401247665280).

317131811004 is an abundant number, since it is smaller than the sum of its proper divisors (485363519556).

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

317131811004 is a wasteful number, since it uses less digits than its factorization.

317131811004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213067 (or 213065 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

Adding to 317131811004 its reverse (400118131713), we get a palindrome (717249942717).

The spelling of 317131811004 in words is "three hundred seventeen billion, one hundred thirty-one million, eight hundred eleven thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 109 134 201 204 218 268 327 402 436 654 804 1139 1308 1853 2278 3417 3706 4556 5559 6834 7303 7412 11118 13668 14606 21909 22236 29212 43818 87636 124151 212867 248302 372453 425734 496604 638601 744906 851468 1277202 1489812 2554404 3618739 7237478 10856217 14262089 14474956 21712434 23202503 28524178 42786267 43424868 46405006 57048356 69607509 85572534 92810012 139215018 171145068 242455513 278430036 394442551 484911026 727366539 788885102 969822052 1183327653 1454733078 1554567701 1577770204 2366655306 2909466156 3109135402 4663703103 4733310612 6218270804 9327406206 18654812412 26427650917 52855301834 79282952751 105710603668 158565905502 317131811004