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10145132140 = 22511133547249
BaseRepresentation
bin10010111001011001…
…00110111001101100
3222012000212002222211
421130230212321230
5131234123212030
64354405220204
7506256125503
oct113454467154
928160762884
1010145132140
114336731a30
121b71701664
13c58aa3790
146c354183a
153e59ca12a
hex25cb26e6c

10145132140 has 48 divisors (see below), whose sum is σ = 25029396000. Its totient is φ = 3405358080.

The previous prime is 10145132119. The next prime is 10145132141. The reversal of 10145132140 is 4123154101.

It is a super-2 number, since 2×101451321402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10145132141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1770765 + ... + 1776484.

It is an arithmetic number, because the mean of its divisors is an integer number (521445750).

Almost surely, 210145132140 is an apocalyptic number.

10145132140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145132140 is an abundant number, since it is smaller than the sum of its proper divisors (14884263860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10145132140 is a wasteful number, since it uses less digits than its factorization.

10145132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547282 (or 3547280 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 10145132140 its reverse (4123154101), we get a palindrome (14268286241).

The spelling of 10145132140 in words is "ten billion, one hundred forty-five million, one hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 3547249 7094498 14188996 17736245 35472490 39019739 46114237 70944980 78039478 92228474 156078956 184456948 195098695 230571185 390197390 461142370 507256607 780394780 922284740 1014513214 2029026428 2536283035 5072566070 10145132140