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3130520100 = 2235213179657
BaseRepresentation
bin1011101010010111…
…1111001000100100
322002011121220020220
42322211333020210
522402403120400
61234345524340
7140401660521
oct27245771044
98064556226
103130520100
1113671080a4
127344a36b0
133ab752976
14219aa0148
15134c767a0
hexba97f224

3130520100 has 72 divisors (see below), whose sum is σ = 9126895008. Its totient is φ = 828422400.

The previous prime is 3130520083. The next prime is 3130520111. The reversal of 3130520100 is 10250313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3130520100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529 + ... + 79128.

Almost surely, 23130520100 is an apocalyptic number.

3130520100 is a gapful number since it is divisible by the number (30) 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 3130520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563447504).

3130520100 is an abundant number, since it is smaller than the sum of its proper divisors (5996374908).

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

3130520100 is a wasteful number, since it uses less digits than its factorization.

3130520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79805 (or 79798 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 3130520100 is about 55951.0509284678. The cubic root of 3130520100 is about 1462.8692091446.

Adding to 3130520100 its reverse (10250313), we get a palindrome (3140770413).

The spelling of 3130520100 in words is "three billion, one hundred thirty million, five hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1310 1572 1965 2620 3275 3930 6550 7860 9825 13100 19650 39300 79657 159314 238971 318628 398285 477942 796570 955884 1194855 1593140 1991425 2389710 3982850 4779420 5974275 7965700 10435067 11948550 20870134 23897100 31305201 41740268 52175335 62610402 104350670 125220804 156526005 208701340 260876675 313052010 521753350 626104020 782630025 1043506700 1565260050 3130520100