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2131051524 = 2237171519883
BaseRepresentation
bin111111100000101…
…0100010000000100
312111111221122010020
41333001110100010
513331022122044
6551243455140
7103544432130
oct17701242004
95444848106
102131051524
119a3a17608
124b58274b0
1327c670644
141630503c0
15c714ca19
hex7f054404

2131051524 has 96 divisors (see below), whose sum is σ = 6057547776. Its totient is φ = 569203200.

The previous prime is 2131051493. The next prime is 2131051529. The reversal of 2131051524 is 4251501312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2131051494 and 2131051503.

It is not an unprimeable number, because it can be changed into a prime (2131051529) 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, 210687 + ... + 220569.

It is an arithmetic number, because the mean of its divisors is an integer number (63099456).

Almost surely, 22131051524 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 2131051524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028773888).

2131051524 is an abundant number, since it is smaller than the sum of its proper divisors (3926496252).

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

2131051524 is a wasteful number, since it uses less digits than its factorization.

2131051524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065 (or 10063 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2131051524 is about 46163.3136159007. The cubic root of 2131051524 is about 1286.8600443450.

Adding to 2131051524 its reverse (4251501312), we get a palindrome (6382552836).

The spelling of 2131051524 in words is "two billion, one hundred thirty-one million, fifty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 151 204 238 302 357 453 476 604 714 906 1057 1428 1812 2114 2567 3171 4228 5134 6342 7701 9883 10268 12684 15402 17969 19766 29649 30804 35938 39532 53907 59298 69181 71876 107814 118596 138362 168011 207543 215628 276724 336022 415086 504033 672044 830172 1008066 1176077 1492333 2016132 2352154 2984666 3528231 4476999 4704308 5969332 7056462 8953998 10446331 14112924 17907996 20892662 25369661 31338993 41785324 50739322 62677986 76108983 101478644 125355972 152217966 177587627 304435932 355175254 532762881 710350508 1065525762 2131051524