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10220010012 = 22321791585973
BaseRepresentation
bin10011000010010100…
…01111101000011100
3222101020202022010100
421201022033220130
5131412310310022
64410042141100
7511155436362
oct114112175034
928336668110
1010220010012
114374a24873
121b927b1790
13c6b45c604
146cd473632
153ec36b1ac
hex26128fa1c

10220010012 has 36 divisors (see below), whose sum is σ = 25978254120. Its totient is φ = 3387636192.

The previous prime is 10220009941. The next prime is 10220010029. The reversal of 10220010012 is 21001002201.

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 = 10220009976 and 10220010003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 786543 + ... + 799430.

It is an arithmetic number, because the mean of its divisors is an integer number (721618170).

Almost surely, 210220010012 is an apocalyptic number.

10220010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10220010012 is an abundant number, since it is smaller than the sum of its proper divisors (15758244108).

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

10220010012 is a wasteful number, since it uses less digits than its factorization.

10220010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586162 (or 1586157 counting only the distinct ones).

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

Adding to 10220010012 its reverse (21001002201), we get a palindrome (31221012213).

It can be divided in two parts, 10 and 220010012, that added together give a palindrome (220010022).

The spelling of 10220010012 in words is "ten billion, two hundred twenty million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 1074 1611 2148 3222 6444 1585973 3171946 4757919 6343892 9515838 14273757 19031676 28547514 57095028 283889167 567778334 851667501 1135556668 1703335002 2555002503 3406670004 5110005006 10220010012