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20033131412052 = 223311118747142007
BaseRepresentation
bin1001000111000010100111…
…01011100111101001010100
32121221011000101001121211000
410203201103223213221110
510111210323120141202
6110335032111143300
74135226446254633
oct443412353475124
977834011047730
1020033131412052
116424004468310
1222b667b214b30
13b24168351775
144d387451951a
1524b19386091c
hex123853ae7a54

20033131412052 has 96 divisors (see below), whose sum is σ = 56660237706240. Its totient is φ = 6070552011360.

The previous prime is 20033131412051. The next prime is 20033131412053. The reversal of 20033131412052 is 25021413133002.

20033131412052 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 313 + 141 + 205 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20033131412051) and next prime (20033131412053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20033131412051) 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, 141000433 + ... + 141142439.

It is an arithmetic number, because the mean of its divisors is an integer number (590210809440).

Almost surely, 220033131412052 is an apocalyptic number.

20033131412052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20033131412052 is an abundant number, since it is smaller than the sum of its proper divisors (36627106294188).

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

20033131412052 is a wasteful number, since it uses less digits than its factorization.

20033131412052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260778 (or 260770 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 20033131412052 its reverse (25021413133002), we get a palindrome (45054544545054).

The spelling of 20033131412052 in words is "twenty trillion, thirty-three billion, one hundred thirty-one million, four hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 118747 142007 237494 284014 356241 426021 474988 568028 712482 852042 1068723 1278063 1306217 1424964 1562077 1704084 2137446 2556126 2612434 3124154 3206169 3834189 3918651 4274892 4686231 5112252 5224868 6248308 6412338 7668378 7837302 9372462 11755953 12824676 14058693 15336756 15674604 18744924 23511906 28117386 35267859 42176079 47023812 56234772 70535718 84352158 141071436 168704316 16862905229 33725810458 50588715687 67451620916 101177431374 151766147061 185491957519 202354862748 303532294122 370983915038 455298441183 556475872557 607064588244 741967830076 910596882366 1112951745114 1669427617671 1821193764732 2225903490228 3338855235342 5008282853013 6677710470684 10016565706026 20033131412052