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21220001020 = 22523101456737
BaseRepresentation
bin10011110000110011…
…111000010011111100
32000202212011202000201
4103300303320103330
5321424310013040
613425350133244
71350565014121
oct236063702374
960685152021
1021220001020
118aaa156929
124142651224
132002382b2a
141054340748
15842e07a9a
hex4f0cf84fc

21220001020 has 48 divisors (see below), whose sum is σ = 46959974208. Its totient is φ = 8038553600.

The previous prime is 21220001003. The next prime is 21220001027. The reversal of 21220001020 is 2010002212.

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 = 21220000988 and 21220001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220001027) 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 15 ways as a sum of consecutive naturals, for example, 181909 + ... + 274828.

It is an arithmetic number, because the mean of its divisors is an integer number (978332796).

Almost surely, 221220001020 is an apocalyptic number.

21220001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220001020 is an abundant number, since it is smaller than the sum of its proper divisors (25739973188).

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

21220001020 is a wasteful number, since it uses less digits than its factorization.

21220001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456870 (or 456868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21220001020 its reverse (2010002212), we get a palindrome (23230003232).

The spelling of 21220001020 in words is "twenty-one billion, two hundred twenty million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 101 115 202 230 404 460 505 1010 2020 2323 4646 9292 11615 23230 46460 456737 913474 1826948 2283685 4567370 9134740 10504951 21009902 42019804 46130437 52524755 92260874 105049510 184521748 210099020 230652185 461304370 922608740 1061000051 2122000102 4244000204 5305000255 10610000510 21220001020