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130233013032320 = 27511101691819157
BaseRepresentation
bin11101100111001000111100…
…011110101101010110000000
3122002010011011121010202221222
4131213020330132231112000
5114032214202314013240
61140552115323534212
736301011316616222
oct3547107436552600
9562104147122858
10130233013032320
1138550568764210
121273404468a368
135788bc72647c3
142423450924412
15100c9d5e11eb5
hex76723c7ad580

130233013032320 has 128 divisors (see below), whose sum is σ = 339675364749600. Its totient is φ = 47352776212480.

The previous prime is 130233013032307. The next prime is 130233013032379. The reversal of 130233013032320 is 23230310332031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1302330130323202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130233013032320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70680182 + ... + 72499338.

Almost surely, 2130233013032320 is an apocalyptic number.

130233013032320 is a gapful number since it is divisible by the number (10) 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 130233013032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169837682374800).

130233013032320 is an abundant number, since it is smaller than the sum of its proper divisors (209442351717280).

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

130233013032320 is a wasteful number, since it uses less digits than its factorization.

130233013032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829356 (or 1829344 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 130233013032320 its reverse (23230310332031), we get a palindrome (153463323364351).

The spelling of 130233013032320 in words is "one hundred thirty trillion, two hundred thirty-three billion, thirteen million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 10169 20338 40676 50845 81352 101690 111859 162704 203380 223718 325408 406760 447436 559295 650816 813520 894872 1118590 1301632 1627040 1789744 1819157 2237180 3254080 3579488 3638314 4474360 6508160 7158976 7276628 8948720 9095785 14317952 14553256 17897440 18191570 20010727 29106512 35794880 36383140 40021454 58213024 71589760 72766280 80042908 100053635 116426048 145532560 160085816 200107270 232852096 291065120 320171632 400214540 582130240 640343264 800429080 1164260480 1280686528 1600858160 2561373056 3201716320 6403432640 12806865280 18499007533 36998015066 73996030132 92495037665 147992060264 184990075330 203489082863 295984120528 369980150660 406978165726 591968241056 739960301320 813956331452 1017445414315 1183936482112 1479920602640 1627912662904 2034890828630 2367872964224 2959841205280 3255825325808 4069781657260 5919682410560 6511650651616 8139563314520 11839364821120 13023301303232 16279126629040 26046602606464 32558253258080 65116506516160 130233013032320