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10121111020 = 2251015010451
BaseRepresentation
bin10010110110100001…
…11110010111101100
3222010100122201012201
421123100332113230
5131212001023040
64352150311244
7505545011206
oct113320762754
928110581181
1010121111020
114324115569
121b65658524
13c53b12cb7
146c028b776
153e3832a9a
hex25b43e5ec

10121111020 has 24 divisors (see below), whose sum is σ = 21464776368. Its totient is φ = 4008360000.

The previous prime is 10121111009. The next prime is 10121111023. The reversal of 10121111020 is 2011112101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10121110988 and 10121111006.

It is not an unprimeable number, because it can be changed into a prime (10121111023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2503206 + ... + 2507245.

It is an arithmetic number, because the mean of its divisors is an integer number (894365682).

Almost surely, 210121111020 is an apocalyptic number.

10121111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121111020 is an abundant number, since it is smaller than the sum of its proper divisors (11343665348).

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

10121111020 is a wasteful number, since it uses less digits than its factorization.

10121111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010561 (or 5010559 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10121111020 its reverse (2011112101), we get a palindrome (12132223121).

The spelling of 10121111020 in words is "ten billion, one hundred twenty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 5010451 10020902 20041804 25052255 50104510 100209020 506055551 1012111102 2024222204 2530277755 5060555510 10121111020