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3132130120 = 235726342533
BaseRepresentation
bin1011101010110000…
…1000001101001000
322002021122200210021
42322230020031020
522403311130440
61234444230224
7140421444460
oct27254101510
98067580707
103132130120
111368007799
12734b3b374
133abb97742
14219d9cba0
15134e9384a
hexbab08348

3132130120 has 64 divisors (see below), whose sum is σ = 8084862720. Its totient is φ = 1069764864.

The previous prime is 3132130103. The next prime is 3132130147. The reversal of 3132130120 is 210312313.

It is a super-2 number, since 2×31321301202 = 19620478177222428800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3132130094 and 3132130103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52374 + ... + 94906.

It is an arithmetic number, because the mean of its divisors is an integer number (126325980).

Almost surely, 23132130120 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 3132130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042431360).

3132130120 is an abundant number, since it is smaller than the sum of its proper divisors (4952732600).

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

3132130120 is a wasteful number, since it uses less digits than its factorization.

3132130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42814 (or 42810 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3132130120 is about 55965.4368338174. The cubic root of 3132130120 is about 1463.1199496986.

Adding to 3132130120 its reverse (210312313), we get a palindrome (3342442433).

The spelling of 3132130120 in words is "three billion, one hundred thirty-two million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 263 280 526 1052 1315 1841 2104 2630 3682 5260 7364 9205 10520 14728 18410 36820 42533 73640 85066 170132 212665 297731 340264 425330 595462 850660 1190924 1488655 1701320 2381848 2977310 5954620 11186179 11909240 22372358 44744716 55930895 78303253 89489432 111861790 156606506 223723580 313213012 391516265 447447160 626426024 783032530 1566065060 3132130120