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2220212112100 = 2252193115036897
BaseRepresentation
bin100000010011101110111…
…101000100101011100100
321212020202101210012210221
4200103232331010223210
5242333443300041400
64415541254454124
7316255632400423
oct40235675045344
97766671705727
102220212112100
1178664a946a64
122ba360664344
13131499196498
147965d0ad2ba
153cb45b1ac1a
hex204eef44ae4

2220212112100 has 36 divisors (see below), whose sum is σ = 4842823332004. Its totient is φ = 883483361280.

The previous prime is 2220212112071. The next prime is 2220212112103. The reversal of 2220212112100 is 12112120222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 257680094884 + 1962532017216 = 507622^2 + 1400904^2 .

It is not an unprimeable number, because it can be changed into a prime (2220212112103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57499149 + ... + 57537748.

Almost surely, 22220212112100 is an apocalyptic number.

2220212112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220212112100 is an abundant number, since it is smaller than the sum of its proper divisors (2622611219904).

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

2220212112100 is a wasteful number, since it uses less digits than its factorization.

2220212112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115037104 (or 115037097 counting only the distinct ones).

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

Adding to 2220212112100 its reverse (12112120222), we get a palindrome (2232324232322).

The spelling of 2220212112100 in words is "two trillion, two hundred twenty billion, two hundred twelve million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1930 3860 4825 9650 19300 115036897 230073794 460147588 575184485 1150368970 2300737940 2875922425 5751844850 11503689700 22202121121 44404242242 88808484484 111010605605 222021211210 444042422420 555053028025 1110106056050 2220212112100