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1102212222120 = 233253061700617
BaseRepresentation
bin10000000010100000111…
…101111100110010101000
310220101000001202021222100
4100002200331330302220
5121024312312101440
62202203241053400
7142426563206502
oct20024075746250
93811001667870
101102212222120
1139549a079239
12159748787260
137cc271c8a49
143b4c1206d72
151da0ecd4230
hex100a0f7cca8

1102212222120 has 48 divisors (see below), whose sum is σ = 3582189723060. Its totient is φ = 293923259136.

The previous prime is 1102212222079. The next prime is 1102212222143. The reversal of 1102212222120 is 212222122011.

It is a happy number.

1102212222120 is a `hidden beast` number, since 1 + 10 + 221 + 222 + 212 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 992745205956 + 109467016164 = 996366^2 + 330858^2 .

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 = 1102212222093 and 1102212222102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1530849949 + ... + 1530850668.

Almost surely, 21102212222120 is an apocalyptic number.

1102212222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102212222120 is an abundant number, since it is smaller than the sum of its proper divisors (2479977500940).

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

1102212222120 is a wasteful number, since it uses less digits than its factorization.

1102212222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061700634 (or 3061700627 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1102212222120 its reverse (212222122011), we get a palindrome (1314434344131).

The spelling of 1102212222120 in words is "one trillion, one hundred two billion, two hundred twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3061700617 6123401234 9185101851 12246802468 15308503085 18370203702 24493604936 27555305553 30617006170 36740407404 45925509255 55110611106 61234012340 73480814808 91851018510 110221222212 122468024680 137776527765 183702037020 220442444424 275553055530 367404074040 551106111060 1102212222120