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10111012020 = 2232571791159
BaseRepresentation
bin10010110101010100…
…11100110010110100
3222002122122121222200
421122222130302310
5131201404341040
64351150024500
7505363120104
oct113252346264
928078577880
1010111012020
114319447a8a
121b621a8130
13c519b8365
146bcbbd204
153e29da630
hex25aa9ccb4

10111012020 has 72 divisors (see below), whose sum is σ = 31102081920. Its totient is φ = 2658290880.

The previous prime is 10111012007. The next prime is 10111012027. The reversal of 10111012020 is 2021011101.

It is a happy number.

10111012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101110120203 (a number of 31 digits) contains 333 as substring.

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 = 10111011993 and 10111012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111012027) 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 23 ways as a sum of consecutive naturals, for example, 382800 + ... + 408359.

It is an arithmetic number, because the mean of its divisors is an integer number (431973360).

Almost surely, 210111012020 is an apocalyptic number.

10111012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111012020 is an abundant number, since it is smaller than the sum of its proper divisors (20991069900).

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

10111012020 is a wasteful number, since it uses less digits than its factorization.

10111012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791245 (or 791240 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10111012020 its reverse (2021011101), we get a palindrome (12132023121).

The spelling of 10111012020 in words is "ten billion, one hundred eleven million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 1065 1278 1420 2130 2556 3195 4260 6390 12780 791159 1582318 2373477 3164636 3955795 4746954 7120431 7911590 9493908 11867385 14240862 15823180 23734770 28481724 35602155 47469540 56172289 71204310 112344578 142408620 168516867 224689156 280861445 337033734 505550601 561722890 674067468 842584335 1011101202 1123445780 1685168670 2022202404 2527753005 3370337340 5055506010 10111012020