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130401033400212 = 223294211903146769
BaseRepresentation
bin11101101001100101011011…
…010001100010111110010100
3122002201012212020002211100120
4131221211123101202332110
5114042442304022301322
61141201224023311540
736316110112313211
oct3551453321427624
9562635766084316
10130401033400212
1138605849896493
12127607162ab5b0
13579b9c3026233
14242b62d6c4b08
15101206ba6ea5c
hex76995b462f94

130401033400212 has 96 divisors (see below), whose sum is σ = 315532091347200. Its totient is φ = 41865366681600.

The previous prime is 130401033400189. The next prime is 130401033400247. The reversal of 130401033400212 is 212004330104031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2788170364 + ... + 2788217132.

It is an arithmetic number, because the mean of its divisors is an integer number (3286792618200).

Almost surely, 2130401033400212 is an apocalyptic number.

130401033400212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130401033400212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157766045673600).

130401033400212 is an abundant number, since it is smaller than the sum of its proper divisors (185131057946988).

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

130401033400212 is a wasteful number, since it uses less digits than its factorization.

130401033400212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66257 (or 66255 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 130401033400212 its reverse (212004330104031), we get a palindrome (342405363504243).

The spelling of 130401033400212 in words is "one hundred thirty trillion, four hundred one billion, thirty-three million, four hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 421 842 1263 1684 2526 5052 12209 19031 24418 36627 38062 46769 48836 57093 73254 76124 93538 114186 140307 146508 187076 228372 280614 551899 561228 1103798 1356301 1655697 2207596 2712602 3311394 4068903 5425204 6622788 8012051 8137806 16024102 16275612 19689749 24036153 32048204 39379498 48072306 59069247 78758996 96144612 118138494 232349479 236276988 464698958 571002721 697048437 890060839 929397916 1142005442 1394096874 1713008163 1780121678 2284010884 2670182517 2788193748 3426016326 3560243356 5340365034 6852032652 10680730068 25811764331 51623528662 77435292993 103247057324 154870585986 309741171972 374715613219 749431226438 1124146839657 1498862452876 2248293679314 4496587358628 10866752783351 21733505566702 32600258350053 43467011133404 65200516700106 130401033400212