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10120554045 = 335728433767
BaseRepresentation
bin10010110110011101…
…10110011000111101
3222010022121102012000
421123032312120331
5131211330212140
64352130332513
7505540201320
oct113316663075
928108542160
1010120554045
114323875058
121b6542a139
13c53979624
146c01847b7
153e3772a30
hex25b3b663d

10120554045 has 64 divisors (see below), whose sum is σ = 20575088640. Its totient is φ = 4623683904.

The previous prime is 10120554043. The next prime is 10120554077. The reversal of 10120554045 is 54045502101.

10120554045 is a `hidden beast` number, since 101 + 2 + 0 + 554 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 10120554045 - 21 = 10120554043 is a prime.

It is a super-2 number, since 2×101205540452 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120554043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2684752 + ... + 2688518.

It is an arithmetic number, because the mean of its divisors is an integer number (321485760).

Almost surely, 210120554045 is an apocalyptic number.

10120554045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10120554045 is an abundant number, since it is smaller than the sum of its proper divisors (10454534595).

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

10120554045 is a wasteful number, since it uses less digits than its factorization.

10120554045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6631 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 10120554045 in words is "ten billion, one hundred twenty million, five hundred fifty-four thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 2843 3767 8529 11301 14215 18835 19901 25587 26369 33903 42645 56505 59703 76761 79107 99505 101709 127935 131845 169515 179109 237321 298515 383805 395535 508545 537327 711963 895545 1186605 2686635 3559815 10709581 32128743 53547905 74967067 96386229 160643715 224901201 289158687 374835335 481931145 674703603 1124506005 1445793435 2024110809 3373518015 10120554045