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1120000122090 = 232537336336373
BaseRepresentation
bin10000010011000101001…
…101011001110011101010
310222001220201211020110100
4100103011031121303222
5121322230012401330
62214304305330230
7143626434650253
oct20230515316352
93861821736410
101120000122090
113a1a97963813
12161091936976
13818004c6645
143c2cb7c1b2a
151e201743060
hex104c5359cea

1120000122090 has 48 divisors (see below), whose sum is σ = 2990703037608. Its totient is φ = 290594625408.

The previous prime is 1120000122089. The next prime is 1120000122121. The reversal of 1120000122090 is 902210000211.

It can be written as a sum of positive squares in 4 ways, for example, as 1061577848241 + 58422273849 = 1030329^2 + 241707^2 .

It is a super-2 number, since 2×11200001220902 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168164857 + ... + 168171516.

Almost surely, 21120000122090 is an apocalyptic number.

1120000122090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1120000122090 is an abundant number, since it is smaller than the sum of its proper divisors (1870702915518).

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

1120000122090 is a wasteful number, since it uses less digits than its factorization.

1120000122090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336336423 (or 336336420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 1120000122090 in words is "one trillion, one hundred twenty billion, one hundred twenty-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 336336373 672672746 1009009119 1681681865 2018018238 3027027357 3363363730 5045045595 6054054714 10090091190 12444445801 15135136785 24888891602 30270273570 37333337403 62222229005 74666674806 112000012209 124444458010 186666687015 224000024418 373333374030 560000061045 1120000122090