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10126125429 = 3721723414297
BaseRepresentation
bin10010110111001000…
…00110100101110101
3222010201002110200120
421123210012211311
5131214242003204
64352450002153
7505635434400
oct113344064565
928121073616
1010126125429
114326a2aa02
121b67276359
13c54b7a4c4
146c0bd4d37
153e3ec36d9
hex25b906975

10126125429 has 96 divisors (see below), whose sum is σ = 17780103936. Its totient is φ = 5080965120.

The previous prime is 10126125389. The next prime is 10126125439. The reversal of 10126125429 is 92452162101.

10126125429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10126125429 - 27 = 10126125301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10126125429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10126125439) 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 95 ways as a sum of consecutive naturals, for example, 2354409 + ... + 2358705.

It is an arithmetic number, because the mean of its divisors is an integer number (185209416).

Almost surely, 210126125429 is an apocalyptic number.

It is an amenable number.

10126125429 is a deficient number, since it is larger than the sum of its proper divisors (7653978507).

10126125429 is a wasteful number, since it uses less digits than its factorization.

10126125429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10126125429 in words is "ten billion, one hundred twenty-six million, one hundred twenty-five thousand, four hundred twenty-nine".

Divisors: 1 3 7 17 21 23 41 49 51 69 119 123 147 161 287 357 391 483 697 833 861 943 1127 1173 2009 2091 2499 2737 2829 3381 4297 4879 6027 6601 8211 12891 14637 16031 19159 19803 30079 34153 46207 48093 57477 73049 90237 98831 102459 112217 138621 176177 210553 219147 296493 336651 511343 528531 631659 691817 785519 1233239 1534029 1680127 2075451 2356557 2995009 3579401 3699717 4052071 4842719 5040381 8632673 8985027 10738203 11760889 12156213 14528157 20965063 25898019 28364497 35282667 62895189 68885207 82326223 85093491 146755441 198551479 206655621 246978669 440266323 482196449 595654437 1446589347 3375375143 10126125429