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10044131202 = 2327674092909
BaseRepresentation
bin10010101101010110…
…10100011110000010
3221220222210201202100
421112223110132002
5131032244144302
64340400331230
7503621464230
oct112653243602
927828721670
1010044131202
114294717486
121b43913b16
13c40b9c501
146b3d6d950
153dbbc8d1c
hex256ad4782

10044131202 has 96 divisors (see below), whose sum is σ = 25312809600. Its totient is φ = 2819038464.

The previous prime is 10044131183. The next prime is 10044131203. The reversal of 10044131202 is 20213144001.

10044131202 is a `hidden beast` number, since 100 + 441 + 3 + 120 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10044131203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3451324 + ... + 3454232.

It is an arithmetic number, because the mean of its divisors is an integer number (263675100).

Almost surely, 210044131202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10044131202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12656404800).

10044131202 is an abundant number, since it is smaller than the sum of its proper divisors (15268678398).

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

10044131202 is a wasteful number, since it uses less digits than its factorization.

10044131202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10044131202 its reverse (20213144001), we get a palindrome (30257275203).

It can be divided in two parts, 10044 and 131202, that added together give a triangular number (141246 = T531).

The spelling of 10044131202 in words is "ten billion, forty-four million, one hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 409 469 603 818 938 1206 1227 1407 2454 2814 2863 2909 3681 4221 5726 5818 7362 8442 8589 8727 17178 17454 20363 25767 26181 27403 40726 51534 52362 54806 61089 82209 122178 164418 183267 191821 194903 246627 366534 383642 389806 493254 575463 584709 1150926 1169418 1189781 1364321 1726389 1754127 2379562 2728642 3452778 3508254 3569343 4092963 7138686 8185926 8328467 10708029 12278889 16656934 21416058 24557778 24985401 49970802 74956203 79715327 149912406 159430654 239145981 478291962 558007289 717437943 1116014578 1434875886 1674021867 3348043734 5022065601 10044131202