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130411241101032 = 23393717881324319
BaseRepresentation
bin11101101001101110111011…
…101100110101011011101000
3122002202012012121200202102220
4131221232323230311123220
5114043124210210213112
61141210032545554040
736316621061325003
oct3551567354653350
9562665177622386
10130411241101032
113860a107873171
12127626a4945920
13579c95ba65ba8
14242bd1b27253a
151012467ca898c
hex769bbbb356e8

130411241101032 has 64 divisors (see below), whose sum is σ = 326395310707200. Its totient is φ = 43421458129920.

The previous prime is 130411241101007. The next prime is 130411241101033. The reversal of 130411241101032 is 230101142114031.

It is a super-2 number, since 2×1304112411010322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 130411241100993 and 130411241101011.

It is not an unprimeable number, because it can be changed into a prime (130411241101033) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 401945769 + ... + 402270087.

It is an arithmetic number, because the mean of its divisors is an integer number (5099926729800).

Almost surely, 2130411241101032 is an apocalyptic number.

130411241101032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130411241101032 is an abundant number, since it is smaller than the sum of its proper divisors (195984069606168).

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

130411241101032 is a wasteful number, since it uses less digits than its factorization.

130411241101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343146 (or 343142 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 130411241101032 its reverse (230101142114031), we get a palindrome (360512383215063).

The spelling of 130411241101032 in words is "one hundred thirty trillion, four hundred eleven billion, two hundred forty-one million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 937 1874 2811 3748 5622 7496 11244 17881 22488 35762 53643 71524 107286 143048 214572 324319 429144 648638 972957 1297276 1945914 2594552 3891828 7783656 16754497 33508994 50263491 67017988 100526982 134035976 201053964 303886903 402107928 607773806 911660709 1215547612 1823321418 2431095224 3646642836 5799148039 7293285672 11598296078 17397444117 23196592156 34794888234 46393184312 69589776468 139179552936 5433801712543 10867603425086 16301405137629 21735206850172 32602810275258 43470413700344 65205620550516 130411241101032