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21100110010 = 257231244809
BaseRepresentation
bin10011101001101010…
…100010000010111010
32000110111120122110221
4103221222202002322
5321203112010020
613405424330254
71344610655500
oct235152420272
960414518427
1021100110010
118a48509a51
12410a47398a
131cb35966c5
141042452670
158376246aa
hex4e9aa20ba

21100110010 has 72 divisors (see below), whose sum is σ = 45653234580. Its totient is φ = 7000801920.

The previous prime is 21100109959. The next prime is 21100110013. The reversal of 21100110010 is 1001100112.

It can be written as a sum of positive squares in 2 ways, for example, as 21075199929 + 24910081 = 145173^2 + 4991^2 .

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 = 21100109975 and 21100110002.

It is not an unprimeable number, because it can be changed into a prime (21100110013) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 448486 + ... + 493294.

Almost surely, 221100110010 is an apocalyptic number.

21100110010 is an abundant number, since it is smaller than the sum of its proper divisors (24553124570).

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

21100110010 is a wasteful number, since it uses less digits than its factorization.

21100110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44892 (or 44854 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 21100110010 its reverse (1001100112), we get a palindrome (22101210122).

The spelling of 21100110010 in words is "twenty-one billion, one hundred million, one hundred ten thousand, ten".

Divisors: 1 2 5 7 10 14 31 35 49 62 70 98 155 217 245 310 434 490 961 1085 1519 1922 2170 3038 4805 6727 7595 9610 13454 15190 33635 44809 47089 67270 89618 94178 224045 235445 313663 448090 470890 627326 1389079 1568315 2195641 2778158 3136630 4391282 6945395 9723553 10978205 13890790 19447106 21956410 43061449 48617765 68064871 86122898 97235530 136129742 215307245 301430143 340324355 430614490 602860286 680648710 1507150715 2110011001 3014301430 4220022002 10550055005 21100110010