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21213433000 = 2353171737213
BaseRepresentation
bin10011110000011010…
…110100110010101000
32000202101211001101201
4103300122310302220
5321421114324000
613424553253544
71350455130304
oct236032646250
960671731351
1021213433000
118aa6480211
1241404042b4
132000bc3426
141053510d04
1584255b96a
hex4f06b4ca8

21213433000 has 128 divisors (see below), whose sum is σ = 52870540320. Its totient is φ = 7938969600.

The previous prime is 21213432973. The next prime is 21213433019. The reversal of 21213433000 is 33431212.

It can be written as a sum of positive squares in 16 ways, for example, as 2550048004 + 18663384996 = 50498^2 + 136614^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2937394 + ... + 2944606.

Almost surely, 221213433000 is an apocalyptic number.

21213433000 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 21213433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26435270160).

21213433000 is an abundant number, since it is smaller than the sum of its proper divisors (31657107320).

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

21213433000 is a wasteful number, since it uses less digits than its factorization.

21213433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7424 (or 7410 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 21213433000 its reverse (33431212), we get a palindrome (21246864212).

The spelling of 21213433000 in words is "twenty-one billion, two hundred thirteen million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 173 200 250 340 346 425 500 680 692 850 865 1000 1384 1700 1730 2125 2941 3400 3460 4250 4325 5882 6920 7213 8500 8650 11764 14426 14705 17000 17300 21625 23528 28852 29410 34600 36065 43250 57704 58820 72130 73525 86500 117640 122621 144260 147050 173000 180325 245242 288520 294100 360650 367625 490484 588200 613105 721300 735250 901625 980968 1226210 1247849 1442600 1470500 1803250 2452420 2495698 2941000 3065525 3606500 4904840 4991396 6131050 6239245 7213000 9982792 12262100 12478490 15327625 21213433 24524200 24956980 30655250 31196225 42426866 49913960 61310500 62392450 84853732 106067165 122621000 124784900 155981125 169707464 212134330 249569800 311962250 424268660 530335825 623924500 848537320 1060671650 1247849000 2121343300 2651679125 4242686600 5303358250 10606716500 21213433000