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140100129 = 321319231107
BaseRepresentation
bin10000101100111…
…00001000100001
3100202121211020200
420112130020201
5241331201004
621522455413
73320555121
oct1026341041
9322554220
10140100129
11720a0334
123ab04569
1323043ab0
141486cc81
15c476239
hex859c221

140100129 has 72 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 78304320.

The previous prime is 140100097. The next prime is 140100133. The reversal of 140100129 is 921001041.

It is not a de Polignac number, because 140100129 - 25 = 140100097 is a prime.

It is a super-2 number, since 2×1401001292 = 39256092291633282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140100629) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1309294 + ... + 1309400.

It is an arithmetic number, because the mean of its divisors is an integer number (3328416).

Almost surely, 2140100129 is an apocalyptic number.

140100129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

140100129 is a deficient number, since it is larger than the sum of its proper divisors (99545823).

140100129 is a wasteful number, since it uses less digits than its factorization.

140100129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 140100129 is about 11836.3900324381. The cubic root of 140100129 is about 519.3731709806.

The spelling of 140100129 in words is "one hundred forty million, one hundred thousand, one hundred twenty-nine".

Divisors: 1 3 9 13 19 31 39 57 93 107 117 171 247 279 321 361 403 589 741 963 1083 1209 1391 1767 2033 2223 3249 3317 3627 4173 4693 5301 6099 7657 9951 11191 12519 14079 18297 22971 26429 29853 33573 38627 42237 43121 63023 68913 79287 100719 115881 129363 145483 189069 237861 347643 388089 436449 502151 567207 819299 1197437 1309347 1506453 2457897 3592311 4519359 7373691 10776933 15566681 46700043 140100129