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130920933 = 31113793863
BaseRepresentation
bin1111100110110…
…11000111100101
3100010100110202110
413303123013211
5232003432213
620554031233
73146544453
oct763330745
9303313673
10130920933
11679a0920
1237a18519
132117ba10
141355d9d3
15b7615c3
hex7cdb1e5

130920933 has 32 divisors (see below), whose sum is σ = 207728640. Its totient is φ = 72296640.

The previous prime is 130920929. The next prime is 130920943. The reversal of 130920933 is 339029031.

It is not a de Polignac number, because 130920933 - 22 = 130920929 is a prime.

It is a super-4 number, since 4×1309209334 (a number of 34 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130920933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130920943) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31960 + ... + 35822.

It is an arithmetic number, because the mean of its divisors is an integer number (6491520).

Almost surely, 2130920933 is an apocalyptic number.

130920933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130920933 is a deficient number, since it is larger than the sum of its proper divisors (76807707).

130920933 is a wasteful number, since it uses less digits than its factorization.

130920933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 130920933 is about 11442.0685629828. The cubic root of 130920933 is about 507.7731086819.

Adding to 130920933 its reverse (339029031), we get a palindrome (469949964).

The spelling of 130920933 in words is "one hundred thirty million, nine hundred twenty thousand, nine hundred thirty-three".

Divisors: 1 3 11 13 33 39 79 143 237 429 869 1027 2607 3081 3863 11297 11589 33891 42493 50219 127479 150657 305177 552409 915531 1657227 3356947 3967301 10070841 11901903 43640311 130920933