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21213314232 = 23311332324181
BaseRepresentation
bin10011110000011010…
…010111110010111000
32000202101121000110220
4103300122113302320
5321421102023412
613424550540040
71350454124115
oct236032276270
960671530426
1021213314232
118aa63a9a60
124140367620
132000b81356
1410534bd90c
1584253668c
hex4f0697cb8

21213314232 has 64 divisors (see below), whose sum is σ = 57874296960. Its totient is φ = 6426076800.

The previous prime is 21213314209. The next prime is 21213314251. The reversal of 21213314232 is 23241331212.

It is a super-3 number, since 3×212133142323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 865182 + ... + 889362.

It is an arithmetic number, because the mean of its divisors is an integer number (904285890).

Almost surely, 221213314232 is an apocalyptic number.

21213314232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21213314232 is an abundant number, since it is smaller than the sum of its proper divisors (36660982728).

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

21213314232 is a wasteful number, since it uses less digits than its factorization.

21213314232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27524 (or 27520 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 21213314232 its reverse (23241331212), we get a palindrome (44454645444).

The spelling of 21213314232 in words is "twenty-one billion, two hundred thirteen million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 3323 6646 9969 13292 19938 24181 26584 36553 39876 48362 72543 73106 79752 96724 109659 145086 146212 193448 219318 265991 290172 292424 438636 531982 580344 797973 877272 1063964 1595946 2127928 3191892 6383784 80353463 160706926 241060389 321413852 482120778 642827704 883888093 964241556 1767776186 1928483112 2651664279 3535552372 5303328558 7071104744 10606657116 21213314232