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202131312320020 = 2256119724269149
BaseRepresentation
bin101101111101011001011101…
…000100011001111000010100
3222111200120020200202220210111
4231331121131010121320110
5202443204411423220040
61553521502025132404
760401335231162036
oct5575313504317024
9874616220686714
10202131312320020
1159450454285766
121a80649b62a104
1388a2b935575a5
1437cb2c9d89c56
151857d75205dea
hexb7d65d119e14

202131312320020 has 72 divisors (see below), whose sum is σ = 433635615466200. Its totient is φ = 79123364436480.

The previous prime is 202131312320009. The next prime is 202131312320023. The reversal of 202131312320020 is 20023213131202.

It can be written as a sum of positive squares in 12 ways, for example, as 30854780965264 + 171276531354756 = 5554708^2 + 13087266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202131312319973 and 202131312320000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202131312320023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45212406 + ... + 49481554.

It is an arithmetic number, because the mean of its divisors is an integer number (6022716881475).

Almost surely, 2202131312320020 is an apocalyptic number.

202131312320020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202131312320020 is an abundant number, since it is smaller than the sum of its proper divisors (231504303146180).

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

202131312320020 is a wasteful number, since it uses less digits than its factorization.

202131312320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269613 (or 4269414 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 202131312320020 its reverse (20023213131202), we get a palindrome (222154525451222).

The spelling of 202131312320020 in words is "two hundred two trillion, one hundred thirty-one billion, three hundred twelve million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 197 244 305 394 610 788 985 1220 1970 3940 12017 24034 38809 48068 60085 77618 120170 155236 194045 240340 388090 776180 2367349 4269149 4734698 8538298 9469396 11836745 17076596 21345745 23673490 42691490 47346980 85382980 260418089 520836178 841022353 1041672356 1302090445 1682044706 2604180890 3364089412 4205111765 5208361780 8410223530 16820447060 51302363533 102604727066 165681403541 205209454132 256511817665 331362807082 513023635330 662725614164 828407017705 1026047270660 1656814035410 3313628070820 10106565616001 20213131232002 40426262464004 50532828080005 101065656160010 202131312320020