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10122001020 = 2232556233339
BaseRepresentation
bin10010110110101000…
…10111101001111100
3222010102022221001200
421123110113221330
5131212213013040
64352221335500
7505555406025
oct113324275174
928112287050
1010122001020
1143246731aa
121b65a07590
13c54065121
146c043dc4c
153e395b630
hex25b517a7c

10122001020 has 36 divisors (see below), whose sum is σ = 30703403640. Its totient is φ = 2699200224.

The previous prime is 10122001009. The next prime is 10122001067. The reversal of 10122001020 is 2010022101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10122000993 and 10122001011.

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 11 ways as a sum of consecutive naturals, for example, 28116490 + ... + 28116849.

Almost surely, 210122001020 is an apocalyptic number.

10122001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122001020 is an abundant number, since it is smaller than the sum of its proper divisors (20581402620).

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

10122001020 is a wasteful number, since it uses less digits than its factorization.

10122001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56233354 (or 56233349 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10122001020 its reverse (2010022101), we get a palindrome (12132023121).

The spelling of 10122001020 in words is "ten billion, one hundred twenty-two million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56233339 112466678 168700017 224933356 281166695 337400034 506100051 562333390 674800068 843500085 1012200102 1124666780 1687000170 2024400204 2530500255 3374000340 5061000510 10122001020