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10230131130 = 23523311373491
BaseRepresentation
bin10011000011100001…
…10110100110111010
3222101221210111200120
421201300312212322
5131422403144010
64411043114110
7511340452122
oct114160664672
928357714616
1010230131130
11437a707a2a
121b96072936
13c7059433b
146d0949c82
153ed1b9e70
hex261c369ba

10230131130 has 128 divisors (see below), whose sum is σ = 26646921216. Its totient is φ = 2506099200.

The previous prime is 10230131111. The next prime is 10230131143. The reversal of 10230131130 is 3113103201.

10230131130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2928685 + ... + 2932175.

It is an arithmetic number, because the mean of its divisors is an integer number (208179072).

Almost surely, 210230131130 is an apocalyptic number.

10230131130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10230131130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13323460608).

10230131130 is an abundant number, since it is smaller than the sum of its proper divisors (16416790086).

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

10230131130 is a wasteful number, since it uses less digits than its factorization.

10230131130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10230131130 its reverse (3113103201), we get a palindrome (13343234331).

The spelling of 10230131130 in words is "ten billion, two hundred thirty million, one hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 137 138 155 186 230 274 310 345 411 465 685 690 713 822 930 1370 1426 2055 2139 3151 3491 3565 4110 4247 4278 6302 6982 7130 8494 9453 10473 10695 12741 15755 17455 18906 20946 21235 21390 25482 31510 34910 42470 47265 52365 63705 80293 94530 97681 104730 108221 127410 160586 195362 216442 240879 293043 324663 401465 478267 481758 488405 541105 586086 649326 802930 956534 976810 1082210 1204395 1434801 1465215 1623315 2391335 2408790 2489083 2869602 2930430 3246630 4782670 4978166 7174005 7467249 11000141 12445415 14348010 14826277 14934498 22000282 24890830 29652554 33000423 37336245 44478831 55000705 66000846 74131385 74672490 88957662 110001410 148262770 165002115 222394155 330004230 341004371 444788310 682008742 1023013113 1705021855 2046026226 3410043710 5115065565 10230131130