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10144151025 = 352798919237
BaseRepresentation
bin10010111001010001…
…10111010111110001
3222011222000021011020
421130220313113301
5131233400313100
64354332210053
7506244601221
oct113450672761
928158007136
1010144151025
114336121898
121b71309929
13c5881c038
146c3368081
153e58845a0
hex25ca375f1

10144151025 has 48 divisors (see below), whose sum is σ = 17175686400. Its totient is φ = 5281436160.

The previous prime is 10144150999. The next prime is 10144151041. The reversal of 10144151025 is 52015144101.

It is not a de Polignac number, because 10144151025 - 214 = 10144134641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10144150986 and 10144151004.

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 47 ways as a sum of consecutive naturals, for example, 517707 + ... + 536943.

It is an arithmetic number, because the mean of its divisors is an integer number (357826800).

Almost surely, 210144151025 is an apocalyptic number.

10144151025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10144151025 is a deficient number, since it is larger than the sum of its proper divisors (7031535375).

10144151025 is a wasteful number, since it uses less digits than its factorization.

10144151025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19418 (or 19413 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 10144151025 its reverse (52015144101), we get a palindrome (62159295126).

The spelling of 10144151025 in words is "ten billion, one hundred forty-four million, one hundred fifty-one thousand, twenty-five".

Divisors: 1 3 5 15 25 75 79 89 237 267 395 445 1185 1335 1975 2225 5925 6675 7031 19237 21093 35155 57711 96185 105465 175775 288555 480925 527325 1442775 1519723 1712093 4559169 5136279 7598615 8560465 22795845 25681395 37993075 42802325 113979225 128406975 135255347 405766041 676276735 2028830205 3381383675 10144151025