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100142181075 = 3521498961269
BaseRepresentation
bin101110101000011110…
…0000110101011010011
3100120111002011220000110
41131100330012223103
53120042344243300
6114001002252403
710143421331406
oct1352074065323
9316432156013
10100142181075
1139519717922
12174a94b7103
13959c101761
144bbdcb1d3d
152911972550
hex1750f06ad3

100142181075 has 24 divisors (see below), whose sum is σ = 166679622000. Its totient is φ = 53050706560.

The previous prime is 100142181001. The next prime is 100142181089. The reversal of 100142181075 is 570181241001.

It is not a de Polignac number, because 100142181075 - 28 = 100142180819 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4469460 + ... + 4491809.

It is an arithmetic number, because the mean of its divisors is an integer number (6944984250).

Almost surely, 2100142181075 is an apocalyptic number.

100142181075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100142181075 is a deficient number, since it is larger than the sum of its proper divisors (66537440925).

100142181075 is a wasteful number, since it uses less digits than its factorization.

100142181075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8961431 (or 8961426 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The spelling of 100142181075 in words is "one hundred billion, one hundred forty-two million, one hundred eighty-one thousand, seventy-five".

Divisors: 1 3 5 15 25 75 149 447 745 2235 3725 11175 8961269 26883807 44806345 134419035 224031725 672095175 1335229081 4005687243 6676145405 20028436215 33380727025 100142181075