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130031616 = 2133111337
BaseRepresentation
bin1111100000000…
…10000000000000
3100001200021211210
413300002000000
5231242002431
620523010120
73136151631
oct760020000
9301607753
10130031616
1167443750
1237669940
1320c29cb0
14133ab888
15b637d46
hex7c02000

130031616 has 224 divisors, whose sum is σ = 418356288. Its totient is φ = 35389440.

The previous prime is 130031597. The next prime is 130031647. The reversal of 130031616 is 616130031.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 130031592 and 130031601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3514350 + ... + 3514386.

It is an arithmetic number, because the mean of its divisors is an integer number (1867662).

Almost surely, 2130031616 is an apocalyptic number.

130031616 is a gapful number since it is divisible by the number (16) 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 130031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209178144).

130031616 is an abundant number, since it is smaller than the sum of its proper divisors (288324672).

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

130031616 is a wasteful number, since it uses less digits than its factorization.

130031616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 130031616 is about 11403.1406200222. The cubic root of 130031616 is about 506.6207653092.

Adding to 130031616 its reverse (616130031), we get a palindrome (746161647).

The spelling of 130031616 in words is "one hundred thirty million, thirty-one thousand, six hundred sixteen".