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10132140344 = 23109139179467
BaseRepresentation
bin10010110111110110…
…00011000100111000
3222011010102001121012
421123323003010320
5131222311442334
64353222533052
7506040525524
oct113373030470
928133361535
1010132140344
11432a369007
121b69297188
13c561a5221
146c191cd84
153e47b09ce
hex25bec3138

10132140344 has 64 divisors (see below), whose sum is σ = 19459440000. Its totient is φ = 4945027968.

The previous prime is 10132140341. The next prime is 10132140371. The reversal of 10132140344 is 44304123101.

10132140344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132140341) 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 15 ways as a sum of consecutive naturals, for example, 21695999 + ... + 21696465.

It is an arithmetic number, because the mean of its divisors is an integer number (304053750).

Almost surely, 210132140344 is an apocalyptic number.

It is an amenable number.

10132140344 is a deficient number, since it is larger than the sum of its proper divisors (9327299656).

10132140344 is a wasteful number, since it uses less digits than its factorization.

10132140344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10132140344 its reverse (44304123101), we get a palindrome (54436263445).

The spelling of 10132140344 in words is "ten billion, one hundred thirty-two million, one hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 109 139 179 218 278 358 436 467 556 716 872 934 1112 1432 1868 3736 15151 19511 24881 30302 39022 49762 50903 60604 64913 78044 83593 99524 101806 121208 129826 156088 167186 199048 203612 259652 334372 407224 519304 668744 2712029 5424058 7075517 9111637 10848116 11619427 14151034 18223274 21696232 23238854 28302068 36446548 46477708 56604136 72893096 92955416 1266517543 2533035086 5066070172 10132140344