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21110100020 = 22512726331601
BaseRepresentation
bin10011101010010000…
…101001000000110100
32000111012101012012022
4103222100221000310
5321213141200040
613410422412312
71345061614052
oct235220510064
960435335168
1021110100020
118a53112659
124111891098
131cb5683859
1410438d31d2
158384496b5
hex4ea429034

21110100020 has 48 divisors (see below), whose sum is σ = 44851580928. Its totient is φ = 8345433600.

The previous prime is 21110099971. The next prime is 21110100023. The reversal of 21110100020 is 2000101112.

It is a junction number, because it is equal to n+sod(n) for n = 21110099980 and 21110100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652220 + ... + 683820.

It is an arithmetic number, because the mean of its divisors is an integer number (934407936).

Almost surely, 221110100020 is an apocalyptic number.

21110100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21110100020 is an abundant number, since it is smaller than the sum of its proper divisors (23741480908).

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

21110100020 is a wasteful number, since it uses less digits than its factorization.

21110100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32000 (or 31998 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21110100020 its reverse (2000101112), we get a palindrome (23110201132).

The spelling of 21110100020 in words is "twenty-one billion, one hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 127 254 263 508 526 635 1052 1270 1315 2540 2630 5260 31601 33401 63202 66802 126404 133604 158005 167005 316010 334010 632020 668020 4013327 8026654 8311063 16053308 16622126 20066635 33244252 40133270 41555315 80266540 83110630 166221260 1055505001 2111010002 4222020004 5277525005 10555050010 21110100020