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3131808225276 = 22323371103278041
BaseRepresentation
bin101101100100101110010…
…100010001011111111100
3102002101202002200212211110
4231210232110101133330
5402302420401202101
610354422143122020
7442160061454203
oct55445624213774
912071662625743
103131808225276
11aa8213108265
12426b702a3310
13199436214603
14ab81a5ba23a
15566eb1d7cd6
hex2d92e5117fc

3131808225276 has 96 divisors (see below), whose sum is σ = 7838488885248. Its totient is φ = 970675453440.

The previous prime is 3131808225269. The next prime is 3131808225307. The reversal of 3131808225276 is 6725228081313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11124816 + ... + 11402856.

It is an arithmetic number, because the mean of its divisors is an integer number (81650925888).

Almost surely, 23131808225276 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 3131808225276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919244442624).

3131808225276 is an abundant number, since it is smaller than the sum of its proper divisors (4706680659972).

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

3131808225276 is a wasteful number, since it uses less digits than its factorization.

3131808225276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279211 (or 279209 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 3131808225276 in words is "three trillion, one hundred thirty-one billion, eight hundred eight million, two hundred twenty-five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 138 148 222 276 444 851 1103 1702 2206 2553 3309 3404 4412 5106 6618 10212 13236 25369 40811 50738 76107 81622 101476 122433 152214 163244 244866 278041 304428 489732 556082 834123 938653 1112164 1668246 1877306 2815959 3336492 3754612 5631918 6394943 10287517 11263836 12789886 19184829 20575034 25579772 30862551 38369658 41150068 61725102 76739316 123450204 236612891 306679223 473225782 613358446 709838673 920037669 946451564 1226716892 1419677346 1840075338 2839354692 3680150676 7053622129 11347131251 14107244258 21160866387 22694262502 28214488516 34041393753 42321732774 45388525004 68082787506 84643465548 136165575012 260984018773 521968037546 782952056319 1043936075092 1565904112638 3131808225276