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10201220221120 = 2651013136723021
BaseRepresentation
bin1001010001110010100000…
…0110111000100011000000
31100010020010120120121000121
42110130220012320203000
52314114044334033440
633410213104430024
72102004514116265
oct224345006704300
940106116517017
1010201220221120
113283349962425
121189094018314
1358cc811cbb16
14273a552c526c
1512a55559934a
hex947281b88c0

10201220221120 has 112 divisors (see below), whose sum is σ = 24334480168128. Its totient is φ = 4073300971520.

The previous prime is 10201220221099. The next prime is 10201220221133. The reversal of 10201220221120 is 2112202210201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10201220221094 and 10201220221103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443115210 + ... + 443138230.

Almost surely, 210201220221120 is an apocalyptic number.

10201220221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201220221120 is an abundant number, since it is smaller than the sum of its proper divisors (14133259947008).

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

10201220221120 is a wasteful number, since it uses less digits than its factorization.

10201220221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25418 (or 25408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10201220221120 its reverse (2112202210201), we get a palindrome (12313422431321).

The spelling of 10201220221120 in words is "ten trillion, two hundred one billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1013 1367 2026 2734 4052 5065 5468 6835 8104 10130 10936 13670 16208 20260 21872 23021 27340 32416 40520 43744 46042 54680 64832 81040 87488 92084 109360 115105 162080 184168 218720 230210 324160 368336 437440 460420 736672 920840 1384771 1473344 1841680 2769542 3683360 5539084 6923855 7366720 11078168 13847710 22156336 23320273 27695420 31469707 44312672 46640546 55390840 62939414 88625344 93281092 110781680 116601365 125878828 157348535 186562184 221563360 233202730 251757656 314697070 373124368 443126720 466405460 503515312 629394140 746248736 932810920 1007030624 1258788280 1492497472 1865621840 2014061248 2517576560 3731243680 5035153120 7462487360 10070306240 31878813191 63757626382 127515252764 159394065955 255030505528 318788131910 510061011056 637576263820 1020122022112 1275152527640 2040244044224 2550305055280 5100610110560 10201220221120