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21010100020 = 22571311544011
BaseRepresentation
bin10011100100010011…
…001010111100110100
32000020020012122222121
4103210103022330310
5321012041200040
613352451205324
71342435621630
oct234423127464
960206178877
1021010100020
118a01721128
1240a42a6844
131c9aa40060
141034501dc0
1582e794c4a
hex4e44caf34

21010100020 has 48 divisors (see below), whose sum is σ = 54303032448. Its totient is φ = 6649349760.

The previous prime is 21010099987. The next prime is 21010100021. The reversal of 21010100020 is 2000101012.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 21010099976 and 21010100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010100021) 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 15 ways as a sum of consecutive naturals, for example, 5770186 + ... + 5773825.

It is an arithmetic number, because the mean of its divisors is an integer number (1131313176).

Almost surely, 221010100020 is an apocalyptic number.

21010100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21010100020 is an abundant number, since it is smaller than the sum of its proper divisors (33292932428).

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

21010100020 is a wasteful number, since it uses less digits than its factorization.

21010100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544040 (or 11544038 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 21010100020 its reverse (2000101012), we get a palindrome (23010201032).

The spelling of 21010100020 in words is "twenty-one billion, ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 11544011 23088022 46176044 57720055 80808077 115440110 150072143 161616154 230880220 300144286 323232308 404040385 600288572 750360715 808080770 1050505001 1500721430 1616161540 2101010002 3001442860 4202020004 5252525005 10505050010 21010100020