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21101210020 = 22511127755233
BaseRepresentation
bin10011101001101110…
…101110100110100100
32000110120122112102001
4103221232232212210
5321203402210040
613405504055044
71344623216512
oct235156564644
960416575361
1021101210020
118a490a0450
12410a904484
131cb38902b7
14104265b4b2
1583779059a
hex4e9bae9a4

21101210020 has 48 divisors (see below), whose sum is σ = 48721655808. Its totient is φ = 7612738560.

The previous prime is 21101210003. The next prime is 21101210021. The reversal of 21101210020 is 2001210112.

It is a super-2 number, since 2×211012100202 (a number of 21 digits) contains 22 as substring.

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 = 21101209979 and 21101210006.

It is not an unprimeable number, because it can be changed into a prime (21101210021) 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, 349677 + ... + 405556.

It is an arithmetic number, because the mean of its divisors is an integer number (1015034496).

Almost surely, 221101210020 is an apocalyptic number.

21101210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101210020 is an abundant number, since it is smaller than the sum of its proper divisors (27620445788).

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

21101210020 is a wasteful number, since it uses less digits than its factorization.

21101210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755380 (or 755378 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21101210020 its reverse (2001210112), we get a palindrome (23102420132).

The spelling of 21101210020 in words is "twenty-one billion, one hundred one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 127 220 254 508 635 1270 1397 2540 2794 5588 6985 13970 27940 755233 1510466 3020932 3776165 7552330 8307563 15104660 16615126 33230252 41537815 83075630 95914591 166151260 191829182 383658364 479572955 959145910 1055060501 1918291820 2110121002 4220242004 5275302505 10550605010 21101210020