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220112202102100 = 225271128586000273
BaseRepresentation
bin110010000011000011011101…
…100111011111010101010100
31001212100112001211010220210021
4302003003131213133111110
5212322304242214231400
62100050052200034524
764235403363432550
oct6203033547372524
91055315054126707
10220112202102100
1164153073856390
122082b277162a44
1395a8651058bb9
143c4d6b76cc860
151a6a95450271a
hexc830dd9df554

220112202102100 has 72 divisors (see below), whose sum is σ = 595503557707968. Its totient is φ = 68606400652800.

The previous prime is 220112202102053. The next prime is 220112202102101. The reversal of 220112202102100 is 1201202211022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220112202102101) 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, 14292992437 + ... + 14293007836.

It is an arithmetic number, because the mean of its divisors is an integer number (8270882745944).

Almost surely, 2220112202102100 is an apocalyptic number.

220112202102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220112202102100 is an abundant number, since it is smaller than the sum of its proper divisors (375391355605868).

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

220112202102100 is a wasteful number, since it uses less digits than its factorization.

220112202102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28586000305 (or 28586000298 counting only the distinct ones).

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

Adding to 220112202102100 its reverse (1201202211022), we get a palindrome (221313404313122).

The spelling of 220112202102100 in words is "two hundred twenty trillion, one hundred twelve billion, two hundred two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 28586000273 57172000546 114344001092 142930001365 200102001911 285860002730 314446003003 400204003822 571720005460 628892006006 714650006825 800408007644 1000510009555 1257784012012 1429300013650 1572230015015 2001020019110 2201122021021 2858600027300 3144460030030 4002040038220 4402244042042 5002550047775 6288920060060 7861150075075 8804488084084 10005100095550 11005610105105 15722300150150 20010200191100 22011220210210 31444600300300 44022440420420 55028050525525 110056101051050 220112202102100