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1100121333132 = 2231713141166043
BaseRepresentation
bin10000000000100100010…
…101110101110110001100
310220011121100101010111110
4100000210111311312030
5121011022030130012
62201215550052020
7142324014020313
oct20004425656614
93804540333443
101100121333132
113946168a3408
121592644aa010
137c982c7ac23
143b36364d27a
151d93b46b73c
hex10024575d8c

1100121333132 has 48 divisors (see below), whose sum is σ = 2738694575232. Its totient is φ = 342501469440.

The previous prime is 1100121333083. The next prime is 1100121333203. The reversal of 1100121333132 is 2313331210011.

It is a happy number.

It is a super-2 number, since 2×11001213331322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100121333099 and 1100121333108.

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, 20556298 + ... + 20609745.

It is an arithmetic number, because the mean of its divisors is an integer number (57056136984).

Almost surely, 21100121333132 is an apocalyptic number.

1100121333132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100121333132 is an abundant number, since it is smaller than the sum of its proper divisors (1638573242100).

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

1100121333132 is a wasteful number, since it uses less digits than its factorization.

1100121333132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41166198 (or 41166196 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1100121333132 its reverse (2313331210011), we get a palindrome (3413452543143).

The spelling of 1100121333132 in words is "one trillion, one hundred billion, one hundred twenty-one million, three hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 131 204 262 393 524 786 1572 2227 4454 6681 8908 13362 26724 41166043 82332086 123498129 164664172 246996258 493992516 699822731 1399645462 2099468193 2799290924 4198936386 5392751633 8397872772 10785503266 16178254899 21571006532 32356509798 64713019596 91676777761 183353555522 275030333283 366707111044 550060666566 1100121333132