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31187143620 = 223251712780251
BaseRepresentation
bin11101000010111001…
…100000101111000100
32222111111010001021100
4131002321200233010
51002332402043440
622154400420100
72152563226653
oct350271405704
988444101240
1031187143620
1112254369666
126064617630
132c30307849
14171bd8d19a
15c27e75230
hex742e60bc4

31187143620 has 144 divisors (see below), whose sum is σ = 100955731968. Its totient is φ = 7765632000.

The previous prime is 31187143619. The next prime is 31187143627. The reversal of 31187143620 is 2634178113.

It is a happy number.

31187143620 is a `hidden beast` number, since 3 + 1 + 18 + 7 + 14 + 3 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31187143627) 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, 348495 + ... + 428745.

It is an arithmetic number, because the mean of its divisors is an integer number (701081472).

Almost surely, 231187143620 is an apocalyptic number.

31187143620 is a gapful number since it is divisible by the number (30) 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 31187143620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50477865984).

31187143620 is an abundant number, since it is smaller than the sum of its proper divisors (69768588348).

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

31187143620 is a wasteful number, since it uses less digits than its factorization.

31187143620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80410 (or 80405 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 31187143620 in words is "thirty-one billion, one hundred eighty-seven million, one hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 127 153 170 180 204 254 255 306 340 381 508 510 612 635 762 765 1020 1143 1270 1524 1530 1905 2159 2286 2540 3060 3810 4318 4572 5715 6477 7620 8636 10795 11430 12954 19431 21590 22860 25908 32385 38862 43180 64770 77724 80251 97155 129540 160502 194310 240753 321004 388620 401255 481506 722259 802510 963012 1203765 1364267 1444518 1605020 2407530 2728534 2889036 3611295 4092801 4815060 5457068 6821335 7222590 8185602 10191877 12278403 13642670 14445180 16371204 20383754 20464005 24556806 27285340 30575631 40767508 40928010 49113612 50959385 61151262 61392015 81856020 91726893 101918770 122302524 122784030 152878155 173261909 183453786 203837540 245568060 305756310 346523818 366907572 458634465 519785727 611512620 693047636 866309545 917268930 1039571454 1559357181 1732619090 1834537860 2079142908 2598928635 3118714362 3465238180 5197857270 6237428724 7796785905 10395714540 15593571810 31187143620