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1102201002120 = 233574312362057
BaseRepresentation
bin10000000010100000010…
…011001001100010001000
310220100222021122021000210
4100002200103021202020
5121024301424031440
62202202200401120
7142426365636231
oct20024023114210
93810867567023
101102201002120
11395493805509
12159744a761a0
137cc24a9aaaa
143b4bd926088
151da0dd19a80
hex100a04c9888

1102201002120 has 64 divisors (see below), whose sum is σ = 3311053614720. Its totient is φ = 293524657664.

The previous prime is 1102201002047. The next prime is 1102201002127. The reversal of 1102201002120 is 212001022011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1102201002096 and 1102201002105.

It is not an unprimeable number, because it can be changed into a prime (1102201002127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6091869 + ... + 6270188.

It is an arithmetic number, because the mean of its divisors is an integer number (51735212730).

Almost surely, 21102201002120 is an apocalyptic number.

1102201002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102201002120 is an abundant number, since it is smaller than the sum of its proper divisors (2208852612600).

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

1102201002120 is a wasteful number, since it uses less digits than its factorization.

1102201002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12362814 (or 12362810 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1102201002120 its reverse (212001022011), we get a palindrome (1314202024131).

The spelling of 1102201002120 in words is "one trillion, one hundred two billion, two hundred one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 743 1486 2229 2972 3715 4458 5944 7430 8916 11145 14860 17832 22290 29720 44580 89160 12362057 24724114 37086171 49448228 61810285 74172342 98896456 123620570 148344684 185430855 247241140 296689368 370861710 494482280 741723420 1483446840 9185008351 18370016702 27555025053 36740033404 45925041755 55110050106 73480066808 91850083510 110220100212 137775125265 183700167020 220440200424 275550250530 367400334040 551100501060 1102201002120