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13031011140 = 2235741218457
BaseRepresentation
bin11000010001011010…
…10111001101000100
31020122011010221202020
430020231113031010
5203141414324030
65553015443140
7640630524060
oct141055271504
936564127666
1013031011140
1155877365a4
1226380864b0
1312c893bca4
148b891caa0
1551402a510
hex308b57344

13031011140 has 144 divisors (see below), whose sum is σ = 42743412096. Its totient is φ = 2905712640.

The previous prime is 13031011127. The next prime is 13031011141. The reversal of 13031011140 is 4111013031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13031011141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 696792 + ... + 715248.

Almost surely, 213031011140 is an apocalyptic number.

13031011140 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 13031011140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21371706048).

13031011140 is an abundant number, since it is smaller than the sum of its proper divisors (29712400956).

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

13031011140 is a wasteful number, since it uses less digits than its factorization.

13031011140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18558 (or 18515 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13031011140 its reverse (4111013031), we get a palindrome (17142024171).

The spelling of 13031011140 in words is "thirteen billion, thirty-one million, eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1681 1722 2460 2870 3362 3444 4305 5043 5740 6724 8405 8610 10086 11767 16810 17220 18457 20172 23534 25215 33620 35301 36914 47068 50430 55371 58835 70602 73828 92285 100860 110742 117670 129199 141204 176505 184570 221484 235340 258398 276855 353010 369140 387597 516796 553710 645995 706020 756737 775194 1107420 1291990 1513474 1550388 1937985 2270211 2583980 3026948 3783685 3875970 4540422 5297159 7567370 7751940 9080844 10594318 11351055 15134740 15891477 21188636 22702110 26485795 31026217 31782954 45404220 52971590 62052434 63565908 79457385 93078651 105943180 124104868 155131085 158914770 186157302 217183519 310262170 317829540 372314604 434367038 465393255 620524340 651550557 868734076 930786510 1085917595 1303101114 1861573020 2171835190 2606202228 3257752785 4343670380 6515505570 13031011140