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130234431121120 = 25537191115178321
BaseRepresentation
bin11101100111001010010001…
…000000010010011011100000
3122002010021211102112011002101
4131213022101000102123200
5114032230103331333440
61140552512142300144
736301061416311004
oct3547122100223340
9562107742464071
10130234431121120
1138551126188327
121273437b587654
135789091ca77c1
142423546dc4704
15100ca6a67b69a
hex7672910126e0

130234431121120 has 96 divisors (see below), whose sum is σ = 317648912103936. Its totient is φ = 50420461363200.

The previous prime is 130234431121061. The next prime is 130234431121187. The reversal of 130234431121120 is 21121134432031.

It is a super-2 number, since 2×1302344311211202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56458441 + ... + 58719880.

It is an arithmetic number, because the mean of its divisors is an integer number (3308842834416).

Almost surely, 2130234431121120 is an apocalyptic number.

130234431121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130234431121120 is an abundant number, since it is smaller than the sum of its proper divisors (187414480982816).

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

130234431121120 is a wasteful number, since it uses less digits than its factorization.

130234431121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115178564 (or 115178556 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 130234431121120 its reverse (21121134432031), we get a palindrome (151355565553151).

The spelling of 130234431121120 in words is "one hundred thirty trillion, two hundred thirty-four billion, four hundred thirty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 191 296 370 382 592 740 764 955 1184 1480 1528 1910 2960 3056 3820 5920 6112 7067 7640 14134 15280 28268 30560 35335 56536 70670 113072 141340 226144 282680 565360 1130720 115178321 230356642 460713284 575891605 921426568 1151783210 1842853136 2303566420 3685706272 4261597877 4607132840 8523195754 9214265680 17046391508 18428531360 21307989385 21999059311 34092783016 42615978770 43998118622 68185566032 85231957540 87996237244 109995296555 136371132064 170463915080 175992474488 219990593110 340927830160 351984948976 439981186220 681855660320 703969897952 813965194507 879962372440 1627930389014 1759924744880 3255860778028 3519849489760 4069825972535 6511721556056 8139651945070 13023443112112 16279303890140 26046886224224 32558607780280 65117215560560 130234431121120