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132936417130 = 25117346135911
BaseRepresentation
bin111101111001110100…
…0001011111101101010
3110201010120022200122211
41323303220023331222
54134223210322010
6141023052435334
712414200621146
oct1736350137552
9421116280584
10132936417130
1151418161850
1221920178b4a
13c6c735636a
146611480226
1536d0a4808a
hex1ef3a0bf6a

132936417130 has 64 divisors (see below), whose sum is σ = 265196042496. Its totient is φ = 47573568000.

The previous prime is 132936417101. The next prime is 132936417139. The reversal of 132936417130 is 31714639231.

132936417130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1329364171302 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132936417139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3683875 + ... + 3719785.

It is an arithmetic number, because the mean of its divisors is an integer number (4143688164).

Almost surely, 2132936417130 is an apocalyptic number.

132936417130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132936417130 is a deficient number, since it is larger than the sum of its proper divisors (132259625366).

132936417130 is a wasteful number, since it uses less digits than its factorization.

132936417130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36463.

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 132936417130 in words is "one hundred thirty-two billion, nine hundred thirty-six million, four hundred seventeen thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 55 73 110 146 365 461 730 803 922 1606 2305 4015 4610 5071 8030 10142 25355 33653 35911 50710 67306 71822 168265 179555 336530 359110 370183 395021 740366 790042 1850915 1975105 2621503 3701830 3950210 5243006 13107515 16554971 26215030 28836533 33109942 57673066 82774855 144182665 165549710 182104681 288365330 364209362 910523405 1208512883 1821046810 2417025766 6042564415 12085128830 13293641713 26587283426 66468208565 132936417130