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202021201012020 = 223513696137207519
BaseRepresentation
bin101101111011110010111001…
…111011000110010100110100
3222111022001000211220220112220
4231323302321323012110310
5202434403404424341040
61553355131501442340
760360356455411335
oct5573627173062464
9874261024826486
10202021201012020
115940878a320275
121a7a908b5703b0
138895695c87b80
1437c5c420b028c
15185507d4732d0
hexb7bcb9ec6534

202021201012020 has 96 divisors (see below), whose sum is σ = 609259149972480. Its totient is φ = 49721150453760.

The previous prime is 202021201012019. The next prime is 202021201012151. The reversal of 202021201012020 is 20210102120202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13174180 + ... + 24033339.

It is an arithmetic number, because the mean of its divisors is an integer number (6346449478880).

Almost surely, 2202021201012020 is an apocalyptic number.

202021201012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202021201012020 is an abundant number, since it is smaller than the sum of its proper divisors (407237948960460).

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

202021201012020 is a wasteful number, since it uses less digits than its factorization.

202021201012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37214505 (or 37214503 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202021201012020 its reverse (20210102120202), we get a palindrome (222231303132222).

The spelling of 202021201012020 in words is "two hundred two trillion, twenty-one billion, two hundred one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 6961 13922 20883 27844 34805 41766 69610 83532 90493 104415 139220 180986 208830 271479 361972 417660 452465 542958 904930 1085916 1357395 1809860 2714790 5429580 37207519 74415038 111622557 148830076 186037595 223245114 372075190 446490228 483697747 558112785 744150380 967395494 1116225570 1451093241 1934790988 2232451140 2418488735 2902186482 4836977470 5804372964 7255466205 9673954940 14510932410 29021864820 259001539759 518003079518 777004619277 1036006159036 1295007698795 1554009238554 2590015397590 3108018477108 3367020016867 3885023096385 5180030795180 6734040033734 7770046192770 10101060050601 13468080067468 15540092385540 16835100084335 20202120101202 33670200168670 40404240202404 50505300253005 67340400337340 101010600506010 202021201012020