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130413124320 = 25352311812783
BaseRepresentation
bin111100101110100111…
…0100101101011100000
3110110121201022010122120
41321131032211223200
54114041224434240
6135524433504240
712264521160303
oct1713516455340
9413551263576
10130413124320
1150342899596
1221337112080
13c3b465caab
1464522c8b3a
1535d426aad0
hex1e5d3a5ae0

130413124320 has 96 divisors (see below), whose sum is σ = 428662305792. Its totient is φ = 33264794112.

The previous prime is 130413124313. The next prime is 130413124333. The reversal of 130413124320 is 23421314031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 5895352 + ... + 5917431.

It is an arithmetic number, because the mean of its divisors is an integer number (4465232352).

Almost surely, 2130413124320 is an apocalyptic number.

130413124320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130413124320 is an abundant number, since it is smaller than the sum of its proper divisors (298249181472).

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

130413124320 is a wasteful number, since it uses less digits than its factorization.

130413124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11812824 (or 11812816 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 130413124320 its reverse (23421314031), we get a palindrome (153834438351).

The spelling of 130413124320 in words is "one hundred thirty billion, four hundred thirteen million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 11812783 23625566 35438349 47251132 59063915 70876698 94502264 118127830 141753396 177191745 189004528 236255660 271694009 283506792 354383490 378009056 472511320 543388018 567013584 708766980 815082027 945022640 1086776036 1134027168 1358470045 1417533960 1630164054 1890045280 2173552072 2716940090 2835067920 3260328108 4075410135 4347104144 5433880180 5670135840 6520656216 8150820270 8694208288 10867760360 13041312432 16301640540 21735520720 26082624864 32603281080 43471041440 65206562160 130413124320