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315145433031 = 311213421115859
BaseRepresentation
bin1001001011000000010…
…00011010111111000111
31010010110000201202001020
410211200020122333013
520130404212324111
6400435324202223
731524411660642
oct4454010327707
91103400652036
10315145433031
1111171a421300
12510b1699373
1323944837bc0
14113787c2a59
1582e714e906
hex496021afc7

315145433031 has 48 divisors (see below), whose sum is σ = 497543679360. Its totient is φ = 176252155200.

The previous prime is 315145432991. The next prime is 315145433039. The reversal of 315145433031 is 130334541513.

It is not a de Polignac number, because 315145433031 - 217 = 315145301959 is a prime.

It is a super-2 number, since 2×3151454330312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 315145432983 and 315145433001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315145433039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19863780 + ... + 19879638.

It is an arithmetic number, because the mean of its divisors is an integer number (10365493320).

Almost surely, 2315145433031 is an apocalyptic number.

315145433031 is a deficient number, since it is larger than the sum of its proper divisors (182398246329).

315145433031 is a wasteful number, since it uses less digits than its factorization.

315145433031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20108 (or 20097 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

Adding to 315145433031 its reverse (130334541513), we get a palindrome (445479974544).

The spelling of 315145433031 in words is "three hundred fifteen billion, one hundred forty-five million, four hundred thirty-three thousand, thirty-one".

Divisors: 1 3 11 13 33 39 121 143 363 429 1573 4211 4719 12633 15859 46321 47577 54743 138963 164229 174449 206167 509531 523347 602173 618501 1528593 1806519 1918939 2267837 5756817 6623903 6803511 19871709 24946207 66782249 74838621 200346747 734604739 868169237 2203814217 2604507711 8080652129 9549861607 24241956387 28649584821 105048477677 315145433031