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1120100210120 = 235411136044141
BaseRepresentation
bin10000010011001011001…
…011001101010111001000
310222002011201011020102102
4100103023023031113020
5121322431123210440
62214322242452532
7143632061460143
oct20231313152710
93862151136372
101120100210120
113a20394053a1
121610bb364148
138181816b228
143c2dabd705a
151e20a413b15
hex104cb2cd5c8

1120100210120 has 64 divisors (see below), whose sum is σ = 2604541670640. Its totient is φ = 433243955200.

The previous prime is 1120100210111. The next prime is 1120100210149. The reversal of 1120100210120 is 210120010211.

It can be written as a sum of positive squares in 8 ways, for example, as 58915911076 + 1061184299044 = 242726^2 + 1030138^2 .

It is a super-3 number, since 3×11201002101203 (a number of 37 digits) contains 333 as substring.

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, 2836751 + ... + 3207390.

Almost surely, 21120100210120 is an apocalyptic number.

1120100210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120100210120 is an abundant number, since it is smaller than the sum of its proper divisors (1484441460520).

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

1120100210120 is a wasteful number, since it uses less digits than its factorization.

1120100210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044306 (or 6044302 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1120100210120 its reverse (210120010211), we get a palindrome (1330220220331).

The spelling of 1120100210120 in words is "one trillion, one hundred twenty billion, one hundred million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 113 164 205 226 328 410 452 565 820 904 1130 1640 2260 4520 4633 9266 18532 23165 37064 46330 92660 185320 6044141 12088282 24176564 30220705 48353128 60441410 120882820 241765640 247809781 495619562 682987933 991239124 1239048905 1365975866 1982478248 2478097810 2731951732 3414939665 4956195620 5463903464 6829879330 9912391240 13659758660 27319517320 28002505253 56005010506 112010021012 140012526265 224020042024 280025052530 560050105060 1120100210120