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220210200112100 = 225211631133171947
BaseRepresentation
bin110010000100011110101110…
…110000001110101111100100
31001212200220000110200122001012
4302010132232300032233210
5212330410442212041400
62100203100325321352
764245443020660532
oct6204365660165744
91055626013618035
10220210200112100
11641906921057a0
1220846266566258
1395b496ab75573
143c543328d7152
151a6d28cad4d35
hexc847aec0ebe4

220210200112100 has 72 divisors (see below), whose sum is σ = 521306025091488. Its totient is φ = 80075142380800.

The previous prime is 220210200112093. The next prime is 220210200112211. The reversal of 220210200112100 is 1211002012022.

220210200112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2202102001121002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67838327 + ... + 71010273.

It is an arithmetic number, because the mean of its divisors is an integer number (7240361459604).

Almost surely, 2220210200112100 is an apocalyptic number.

220210200112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220210200112100 is an abundant number, since it is smaller than the sum of its proper divisors (301095824979388).

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

220210200112100 is a wasteful number, since it uses less digits than its factorization.

220210200112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235085 (or 3235078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220210200112100 its reverse (1211002012022), we get a palindrome (221421202124122).

The spelling of 220210200112100 in words is "two hundred twenty trillion, two hundred ten billion, two hundred million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 63113 126226 252452 315565 631130 694243 1262260 1388486 1577825 2776972 3155650 3171947 3471215 6311300 6343894 6942430 12687788 13884860 15859735 17356075 31719470 34712150 34891417 63438940 69424300 69782834 79298675 139565668 158597350 174457085 317194700 348914170 697828340 872285425 1744570850 3489141700 200191091011 400382182022 800764364044 1000955455055 2001910910110 2202102001121 4003821820220 4404204002242 5004777275275 8808408004484 10009554550550 11010510005605 20019109101100 22021020011210 44042040022420 55052550028025 110105100056050 220210200112100