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31113332202420 = 223251339733491929
BaseRepresentation
bin1110001001100001000110…
…00111010001101110110100
311002011101221121122120201200
413010300203013101232310
513034230101020434140
6150101133440052500
76360602243101446
oct704604307215664
9132141847576650
1031113332202420
119a060a99a6056
1235a5b80004130
131448c893805a0
14797c71376496
1538e4e0e4c030
hex1c4c231d1bb4

31113332202420 has 144 divisors (see below), whose sum is σ = 101892900542160. Its totient is φ = 7639374809088.

The previous prime is 31113332202397. The next prime is 31113332202479. The reversal of 31113332202420 is 2420223331113.

31113332202420 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 3 + 3 + 32 + 202 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 110641386384 + 31002690816036 = 332628^2 + 5568006^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15816985 + ... + 17674944.

Almost surely, 231113332202420 is an apocalyptic number.

31113332202420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31113332202420 is an abundant number, since it is smaller than the sum of its proper divisors (70779568339740).

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

31113332202420 is a wasteful number, since it uses less digits than its factorization.

31113332202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33492354 (or 33492349 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31113332202420 its reverse (2420223331113), we get a palindrome (33533555533533).

The spelling of 31113332202420 in words is "thirty-one trillion, one hundred thirteen billion, three hundred thirty-two million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 397 468 585 780 794 1170 1191 1588 1985 2340 2382 3573 3970 4764 5161 5955 7146 7940 10322 11910 14292 15483 17865 20644 23820 25805 30966 35730 46449 51610 61932 71460 77415 92898 103220 154830 185796 232245 309660 464490 928980 33491929 66983858 100475787 133967716 167459645 200951574 301427361 334919290 401903148 435395077 502378935 602854722 669838580 870790154 1004757870 1205709444 1306185231 1507136805 1741580308 2009515740 2176975385 2612370462 3014273610 3918555693 4353950770 5224740924 6028547220 6530926155 7837111386 8707901540 13061852310 13296295813 15674222772 19592778465 26123704620 26592591626 39185556930 39888887439 53185183252 66481479065 78371113860 79777774878 119666662317 132962958130 159555549756 172851845569 199444437195 239333324634 265925916260 345703691138 398888874390 478666649268 518555536707 598333311585 691407382276 797777748780 864259227845 1037111073414 1196666623170 1555666610121 1728518455690 2074222146828 2393333246340 2592777683535 3111333220242 3457036911380 5185555367070 6222666440484 7778333050605 10371110734140 15556666101210 31113332202420