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1100212331220 = 223352037430243
BaseRepresentation
bin10000000000101001110…
…000111110001011010100
310220011211200121022102000
4100000221300332023110
5121011213324044340
62201233000315300
7142326200341002
oct20005160761324
93804750538360
101100212331220
113946631a6642
1215928aa72b30
137c998a8c252
143b371779a72
151d944443d30
hex10029c3e2d4

1100212331220 has 48 divisors (see below), whose sum is σ = 3422882809920. Its totient is φ = 293389954848.

The previous prime is 1100212331203. The next prime is 1100212331237. The reversal of 1100212331220 is 221332120011.

1100212331220 is a `hidden beast` number, since 1 + 100 + 2 + 12 + 331 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (1100212331203) and next prime (1100212331237).

It is a super-3 number, since 3×11002123312203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1100212331193 and 1100212331202.

It is a congruent number.

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, 1018714582 + ... + 1018715661.

It is an arithmetic number, because the mean of its divisors is an integer number (71310058540).

Almost surely, 21100212331220 is an apocalyptic number.

1100212331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100212331220 is an abundant number, since it is smaller than the sum of its proper divisors (2322670478700).

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

1100212331220 is a wasteful number, since it uses less digits than its factorization.

1100212331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037430261 (or 2037430253 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1100212331220 its reverse (221332120011), we get a palindrome (1321544451231).

The spelling of 1100212331220 in words is "one trillion, one hundred billion, two hundred twelve million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2037430243 4074860486 6112290729 8149720972 10187151215 12224581458 18336872187 20374302430 24449162916 30561453645 36673744374 40748604860 55010616561 61122907290 73347488748 91684360935 110021233122 122245814580 183368721870 220042466244 275053082805 366737443740 550106165610 1100212331220