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251230520130 = 235177113152963
BaseRepresentation
bin1110100111111010000…
…0011000001101000010
3220000110200112202101220
43221332200120031002
513104010003121010
6311225205535510
724102504121002
oct3517640301502
9800420482356
10251230520130
1197601096237
1240834714596
131a8c9cab005
14c234008002
156805d82970
hex3a7e818342

251230520130 has 128 divisors (see below), whose sum is σ = 652367333376. Its totient is φ = 61690137600.

The previous prime is 251230520087. The next prime is 251230520141. The reversal of 251230520130 is 31025032152.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 251230520130.

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, 4717029 + ... + 4769991.

It is an arithmetic number, because the mean of its divisors is an integer number (5096619792).

Almost surely, 2251230520130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251230520130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326183666688).

251230520130 is an abundant number, since it is smaller than the sum of its proper divisors (401136813246).

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

251230520130 is a wasteful number, since it uses less digits than its factorization.

251230520130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53192.

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 251230520130 its reverse (31025032152), we get a palindrome (282255552282).

The spelling of 251230520130 in words is "two hundred fifty-one billion, two hundred thirty million, five hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 71 85 102 131 142 170 213 255 262 355 393 426 510 655 710 786 1065 1207 1310 1965 2130 2227 2414 3621 3930 4454 6035 6681 7242 9301 11135 12070 13362 18105 18602 22270 27903 33405 36210 46505 52963 55806 66810 93010 105926 139515 158117 158889 264815 279030 316234 317778 474351 529630 790585 794445 900371 948702 1581170 1588890 1800742 2371755 2701113 3760373 4501855 4743510 5402226 6938153 7520746 9003710 11281119 13505565 13876306 18801865 20814459 22562238 27011130 34690765 37603730 41628918 56405595 63926341 69381530 104072295 112811190 117948601 127852682 191779023 208144590 235897202 319631705 353845803 383558046 492608863 589743005 639263410 707691606 958895115 985217726 1179486010 1477826589 1769229015 1917790230 2463044315 2955653178 3538458030 4926088630 7389132945 8374350671 14778265890 16748701342 25123052013 41871753355 50246104026 83743506710 125615260065 251230520130