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10120100020 = 2257110516781
BaseRepresentation
bin10010110110011010…
…00111100010110100
3222010021202100101021
421123031013202310
5131211221200040
64352112510524
7505533300532
oct113315074264
928107670337
1010120100020
114323594a28
121b6524b444
13c5384aa84
146c00a7152
153e36d324a
hex25b3478b4

10120100020 has 48 divisors (see below), whose sum is σ = 21575223936. Its totient is φ = 3986640000.

The previous prime is 10120099993. The next prime is 10120100041. The reversal of 10120100020 is 2000102101.

10120100020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10120099976 and 10120100012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1489030 + ... + 1495810.

It is an arithmetic number, because the mean of its divisors is an integer number (449483832).

Almost surely, 210120100020 is an apocalyptic number.

10120100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120100020 is an abundant number, since it is smaller than the sum of its proper divisors (11455123916).

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

10120100020 is a wasteful number, since it uses less digits than its factorization.

10120100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10120100020 its reverse (2000102101), we get a palindrome (12120202121).

The spelling of 10120100020 in words is "ten billion, one hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1051 1420 2102 4204 5255 6781 10510 13562 21020 27124 33905 67810 74621 135620 149242 298484 373105 481451 746210 962902 1492420 1925804 2407255 4814510 7126831 9629020 14253662 28507324 35634155 71268310 142536620 506005001 1012010002 2024020004 2530025005 5060050010 10120100020