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1010032020120 = 233541205291061
BaseRepresentation
bin11101011001010101001…
…10011000101010011000
310120120001212102211221210
432230222212120222120
5113022021144120440
62052000255303120
7132654351342054
oct16545246305230
93516055384853
101010032020120
1135a396820112
1214390181aaa0
13743267b7616
1436c58942c64
151b41734ba80
hexeb2a998a98

1010032020120 has 64 divisors (see below), whose sum is σ = 3104000857440. Its totient is φ = 262772556800.

The previous prime is 1010032020119. The next prime is 1010032020149. The reversal of 1010032020120 is 210202300101.

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 = 1010032020096 and 1010032020105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 102640611 + ... + 102650450.

Almost surely, 21010032020120 is an apocalyptic number.

1010032020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010032020120 is an abundant number, since it is smaller than the sum of its proper divisors (2093968837320).

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

1010032020120 is a wasteful number, since it uses less digits than its factorization.

1010032020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205291116 (or 205291112 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1010032020120 its reverse (210202300101), we get a palindrome (1220234320221).

The spelling of 1010032020120 in words is "one trillion, ten billion, thirty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 205291061 410582122 615873183 821164244 1026455305 1231746366 1642328488 2052910610 2463492732 3079365915 4105821220 4926985464 6158731830 8211642440 8416933501 12317463660 16833867002 24634927320 25250800503 33667734004 42084667505 50501601006 67335468008 84169335010 101003202012 126254002515 168338670020 202006404024 252508005030 336677340040 505016010060 1010032020120