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13013124240 = 243571977873
BaseRepresentation
bin11000001111010010…
…01000010010010000
31020120220111012112110
430013221020102100
5203122324433430
65551140225320
7640322505504
oct140751102220
936526435473
1013013124240
115578629936
12263209b240
1312c501861c
148b63c4304
155126957b0
hex307a48490

13013124240 has 160 divisors (see below), whose sum is σ = 41335854336. Its totient is φ = 3385589760.

The previous prime is 13013124239. The next prime is 13013124247. The reversal of 13013124240 is 4242131031.

It is a super-3 number, since 3×130131242403 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13013124247) 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, 1648944 + ... + 1656816.

Almost surely, 213013124240 is an apocalyptic number.

13013124240 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 13013124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20667927168).

13013124240 is an abundant number, since it is smaller than the sum of its proper divisors (28322730096).

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

13013124240 is a wasteful number, since it uses less digits than its factorization.

13013124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8057 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13013124240 its reverse (4242131031), we get a palindrome (17255255271).

The spelling of 13013124240 in words is "thirteen billion, thirteen million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 97 120 142 194 213 240 284 291 355 388 426 485 568 582 710 776 852 970 1065 1136 1164 1420 1455 1552 1704 1940 2130 2328 2840 2910 3408 3880 4260 4656 5680 5820 6887 7760 7873 8520 11640 13774 15746 17040 20661 23280 23619 27548 31492 34435 39365 41322 47238 55096 62984 68870 78730 82644 94476 103305 110192 118095 125968 137740 157460 165288 188952 206610 236190 275480 314920 330576 377904 413220 472380 550960 558983 629840 763681 826440 944760 1117966 1527362 1652880 1676949 1889520 2235932 2291043 2794915 3054724 3353898 3818405 4471864 4582086 5589830 6109448 6707796 7636810 8384745 8943728 9164172 11179660 11455215 12218896 13415592 15273620 16769490 18328344 22359320 22910430 26831184 30547240 33538980 36656688 44718640 45820860 54221351 61094480 67077960 91641720 108442702 134155920 162664053 183283440 216885404 271106755 325328106 433770808 542213510 650656212 813320265 867541616 1084427020 1301312424 1626640530 2168854040 2602624848 3253281060 4337708080 6506562120 13013124240