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201231020131020 = 2232511193795244431
BaseRepresentation
bin101101110000010010111111…
…011110010000001011001100
3222101111111102210012002121100
4231300102333132100023030
5202333432112123143040
61551552130543103100
760246314161633365
oct5560227736201314
9871444383162540
10201231020131020
1159133661866a60
121a69bb055a1a90
1388390083a6aa9
1437998c1c64b6c
15183e73220eb30
hexb704bf7902cc

201231020131020 has 144 divisors (see below), whose sum is σ = 665926227832320. Its totient is φ = 48780750979200.

The previous prime is 201231020131003. The next prime is 201231020131103. The reversal of 201231020131020 is 20131020132102.

201231020131020 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 310 + 20 + 1 + 310 + 20 = 666.

201231020131020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201231020130984 and 201231020131002.

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, 35748205 + ... + 40992635.

It is an arithmetic number, because the mean of its divisors is an integer number (4624487693280).

Almost surely, 2201231020131020 is an apocalyptic number.

201231020131020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201231020131020 is an abundant number, since it is smaller than the sum of its proper divisors (464695207701300).

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

201231020131020 is a wasteful number, since it uses less digits than its factorization.

201231020131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263836 (or 5263831 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201231020131020 its reverse (20131020132102), we get a palindrome (221362040263122).

The spelling of 201231020131020 in words is "two hundred one trillion, two hundred thirty-one billion, twenty million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 19379 38758 58137 77516 96895 116274 174411 193790 213169 232548 290685 348822 387580 426338 581370 639507 697644 852676 872055 1065845 1162740 1279014 1744110 1918521 2131690 2558028 3197535 3488220 3837042 4263380 5244431 6395070 7674084 9592605 10488862 12790140 15733293 19185210 20977724 26222155 31466586 38370420 47199879 52444310 57688741 62933172 78666465 94399758 104888620 115377482 157332930 173066223 188799516 230754964 235999395 288443705 314665860 346132446 471998790 519198669 576887410 692264892 865331115 943997580 1038397338 1153774820 1730662230 2076794676 2595993345 3461324460 5191986690 10383973380 101631828349 203263656698 304895485047 406527313396 508159141745 609790970094 914686455141 1016318283490 1117950111839 1219581940188 1524477425235 1829372910282 2032636566980 2235900223678 3048954850470 3353850335517 3658745820564 4471800447356 4573432275705 5589750559195 6097909700940 6707700671034 9146864551410 10061551006551 11179501118390 13415401342068 16769251677585 18293729102820 20123102013102 22359002236780 33538503355170 40246204026204 50307755032755 67077006710340 100615510065510 201231020131020