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10121340020 = 2251147978853
BaseRepresentation
bin10010110110100011…
…10110010001110100
3222010101002100100012
421123101312101310
5131212030340040
64352155235352
7505546653641
oct113321662164
928111070305
1010121340020
114324261620
121b65748b58
13c53b932bc
146c030adc8
153e387a865
hex25b476474

10121340020 has 48 divisors (see below), whose sum is σ = 23680435968. Its totient is φ = 3602175360.

The previous prime is 10121340007. The next prime is 10121340023. The reversal of 10121340020 is 2004312101.

10121340020 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 = 10121339977 and 10121340004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121340023) by changing a digit.

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, 479087 + ... + 499766.

It is an arithmetic number, because the mean of its divisors is an integer number (493342416).

Almost surely, 210121340020 is an apocalyptic number.

10121340020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121340020 is an abundant number, since it is smaller than the sum of its proper divisors (13559095948).

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

10121340020 is a wasteful number, since it uses less digits than its factorization.

10121340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978920 (or 978918 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10121340020 its reverse (2004312101), we get a palindrome (12125652121).

The spelling of 10121340020 in words is "ten billion, one hundred twenty-one million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 978853 1957706 3915412 4894265 9788530 10767383 19577060 21534766 43069532 46006091 53836915 92012182 107673830 184024364 215347660 230030455 460060910 506067001 920121820 1012134002 2024268004 2530335005 5060670010 10121340020