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131001312331230 = 2351119129197161717
BaseRepresentation
bin11101110010010100011110…
…101011111100010111011110
3122011211121021200211001021020
4131302110132223330113132
5114132311141424044410
61142341101100145010
736410350433120205
oct3562243653742736
9564747250731236
10131001312331230
1138817387682a90
1212838b22538166
1358134a86b5683
14244c6d6a1623c
1510229a1138a70
hex77251eafc5de

131001312331230 has 128 divisors (see below), whose sum is σ = 361042136593920. Its totient is φ = 30086006883840.

The previous prime is 131001312331163. The next prime is 131001312331247. The reversal of 131001312331230 is 32133213100131.

It is a super-2 number, since 2×1310013123312302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131001312331230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 809984332 + ... + 810146048.

It is an arithmetic number, because the mean of its divisors is an integer number (2820641692140).

Almost surely, 2131001312331230 is an apocalyptic number.

131001312331230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131001312331230 is an abundant number, since it is smaller than the sum of its proper divisors (230040824262690).

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

131001312331230 is a wasteful number, since it uses less digits than its factorization.

131001312331230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290954.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131001312331230 its reverse (32133213100131), we get a palindrome (163134525431361).

The spelling of 131001312331230 in words is "one hundred thirty-one trillion, one billion, three hundred twelve million, three hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 129197 161717 258394 323434 387591 485151 645985 775182 808585 970302 1291970 1421167 1617170 1778887 1937955 2425755 2454743 2842334 3072623 3557774 3875910 4263501 4851510 4909486 5336661 6145246 7105835 7364229 8527002 8894435 9217869 10673322 12273715 14211670 14728458 15363115 17788870 18435738 21317505 24547430 26683305 27002173 30726230 33798853 36821145 42635010 46089345 53366610 54004346 67597706 73642290 81006519 92178690 101396559 135010865 162013038 168994265 202793118 270021730 337988530 405032595 506982795 810065190 1013965590 20893351249 41786702498 62680053747 104466756245 125360107494 208933512490 229826863739 313400268735 396973673731 459653727478 626800537470 689480591217 793947347462 1149134318695 1190921021193 1378961182434 1984868368655 2298268637390 2381842042386 3447402956085 3969736737310 4366710411041 5954605105965 6894805912170 8733420822082 11909210211930 13100131233123 21833552055205 26200262466246 43667104110410 65500656165615 131001312331230