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13430510151120 = 2432541454963081
BaseRepresentation
bin1100001101110000100011…
…0010010110010111010000
31202112221111100022011102100
43003130020302112113100
53230021141044313440
644321520255120400
72554215363454326
oct303341062262720
952487440264370
1013430510151120
114308935936217
12160ab0a813100
137656512891ca
1434607c2abd16
1518455987a230
hexc3708c965d0

13430510151120 has 120 divisors (see below), whose sum is σ = 46204230755592. Its totient is φ = 3494116454400.

The previous prime is 13430510151007. The next prime is 13430510151187. The reversal of 13430510151120 is 2115101503431.

13430510151120 is a `hidden beast` number, since 1 + 3 + 4 + 30 + 510 + 1 + 5 + 112 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 874344684096 + 12556165467024 = 935064^2 + 3543468^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 227452021 + ... + 227511060.

Almost surely, 213430510151120 is an apocalyptic number.

13430510151120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13430510151120 is an abundant number, since it is smaller than the sum of its proper divisors (32773720604472).

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

13430510151120 is a wasteful number, since it uses less digits than its factorization.

13430510151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454963141 (or 454963132 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 13430510151120 its reverse (2115101503431), we get a palindrome (15545611654551).

The spelling of 13430510151120 in words is "thirteen trillion, four hundred thirty billion, five hundred ten million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14760 29520 454963081 909926162 1364889243 1819852324 2274815405 2729778486 3639704648 4094667729 4549630810 5459556972 6824446215 7279409296 8189335458 9099261620 10919113944 13648892430 16378670916 18198523240 18653486321 20473338645 21838227888 27297784860 32757341832 36397046480 37306972642 40946677290 54595569720 55960458963 65514683664 74613945284 81893354580 93267431605 109191139440 111920917926 149227890568 163786709160 167881376889 186534863210 223841835852 279802294815 298455781136 327573418320 335762753778 373069726420 447683671704 559604589630 671525507556 746139452840 839406884445 895367343408 1119209179260 1343051015112 1492278905680 1678813768890 2238418358520 2686102030224 3357627537780 4476836717040 6715255075560 13430510151120