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21212102640 = 2435383230767
BaseRepresentation
bin10011110000010101…
…101111111111110000
32000202022022110111010
4103300111233333300
5321420244241030
613424504550520
71350440616561
oct236025577760
960668273433
1021212102640
118aa5751743
12413ba82440
132000848a31
141053286168
158423976b0
hex4f056fff0

21212102640 has 80 divisors (see below), whose sum is σ = 65929494528. Its totient is φ = 5641767168.

The previous prime is 21212102629. The next prime is 21212102657. The reversal of 21212102640 is 4620121212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×212121026403 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23464 + ... + 207303.

Almost surely, 221212102640 is an apocalyptic number.

21212102640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212102640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32964747264).

21212102640 is an abundant number, since it is smaller than the sum of its proper divisors (44717391888).

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

21212102640 is a wasteful number, since it uses less digits than its factorization.

21212102640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231166 (or 231160 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21212102640 its reverse (4620121212), we get a palindrome (25832223852).

The spelling of 21212102640 in words is "twenty-one billion, two hundred twelve million, one hundred two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 383 766 1149 1532 1915 2298 3064 3830 4596 5745 6128 7660 9192 11490 15320 18384 22980 30640 45960 91920 230767 461534 692301 923068 1153835 1384602 1846136 2307670 2769204 3461505 3692272 4615340 5538408 6923010 9230680 11076816 13846020 18461360 27692040 55384080 88383761 176767522 265151283 353535044 441918805 530302566 707070088 883837610 1060605132 1325756415 1414140176 1767675220 2121210264 2651512830 3535350440 4242420528 5303025660 7070700880 10606051320 21212102640