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202101222221120 = 265738651593417
BaseRepresentation
bin101101111100111101011011…
…100011110010010101000000
3222111120200120122221111222002
4231330331123203302111000
5202442211300342033440
61553500004134003132
760366221455436135
oct5574753343622500
9874520518844862
10202101222221120
11594397131a3032
121a8006a24a64a8
1388a00a9607541
1437c9a739aa58c
1518571b3731115
hexb7cf5b8f2540

202101222221120 has 56 divisors (see below), whose sum is σ = 487846049654184. Its totient is φ = 79733084921856.

The previous prime is 202101222221111. The next prime is 202101222221149. The reversal of 202101222221120 is 21122222101202.

It can be written as a sum of positive squares in 4 ways, for example, as 1818268858624 + 200282953362496 = 1348432^2 + 14152136^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202101222221092 and 202101222221101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4325773349 + ... + 4325820068.

Almost surely, 2202101222221120 is an apocalyptic number.

202101222221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101222221120 is an abundant number, since it is smaller than the sum of its proper divisors (285744827433064).

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

202101222221120 is an equidigital number, since it uses as much as digits as its factorization.

202101222221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8651593507 (or 8651593497 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202101222221120 its reverse (21122222101202), we get a palindrome (223223444322322).

The spelling of 202101222221120 in words is "two hundred two trillion, one hundred one billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1460 2336 2920 4672 5840 11680 23360 8651593417 17303186834 34606373668 43257967085 69212747336 86515934170 138425494672 173031868340 276850989344 346063736680 553701978688 631566319441 692127473360 1263132638882 1384254946720 2526265277764 2768509893440 3157831597205 5052530555528 6315663194410 10105061111056 12631326388820 20210122222112 25262652777640 40420244444224 50525305555280 101050611110560 202101222221120