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130320100011320 = 235172322373724849
BaseRepresentation
bin11101101000011010000011…
…010001001010110100111000
3122002102110221211122200111122
4131220122003101022310320
5114040131031100330240
61141100121044044412
736310213365001202
oct3550320321126470
9562373854580448
10130320100011320
113858449802252a
1212748aa9993708
1357941957073cb
1424277529bb772
15100edd167b4b5
hex76868344ad38

130320100011320 has 128 divisors (see below), whose sum is σ = 324112011984000. Its totient is φ = 46907577040896.

The previous prime is 130320100011319. The next prime is 130320100011323. The reversal of 130320100011320 is 23110001023031.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130320100011323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33124256 + ... + 36849104.

It is an arithmetic number, because the mean of its divisors is an integer number (2532125093625).

Almost surely, 2130320100011320 is an apocalyptic number.

130320100011320 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 130320100011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162056005992000).

130320100011320 is an abundant number, since it is smaller than the sum of its proper divisors (193791911972680).

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

130320100011320 is a wasteful number, since it uses less digits than its factorization.

130320100011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727137 (or 3727133 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 130320100011320 its reverse (23110001023031), we get a palindrome (153430101034351).

The spelling of 130320100011320 in words is "one hundred thirty trillion, three hundred twenty billion, one hundred million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 2237 3128 3910 4474 7820 8948 11185 15640 17896 22370 38029 44740 51451 76058 89480 102902 152116 190145 205804 257255 304232 380290 411608 514510 760580 874667 1029020 1521160 1749334 2058040 3498668 3724849 4373335 6997336 7449698 8746670 14899396 17493340 18624245 29798792 34986680 37248490 63322433 74496980 85671527 126644866 148993960 171343054 253289732 316612165 342686108 428357635 506579464 633224330 685372216 856715270 1266448660 1456415959 1713430540 2532897320 2912831918 3426861080 5825663836 7282079795 8332487213 11651327672 14564159590 16664974426 29128319180 33329948852 41662436065 58256638360 66659897704 83324872130 141652282621 166649744260 191647205899 283304565242 333299488520 383294411798 566609130484 708261413105 766588823596 958236029495 1133218260968 1416522826210 1533177647192 1916472058990 2833045652420 3258002500283 3832944117980 5666091304840 6516005000566 7665888235960 13032010001132 16290012501415 26064020002264 32580025002830 65160050005660 130320100011320