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21213430433520 = 24351363371072933
BaseRepresentation
bin1001101001011001000101…
…11111000100011011110000
32210002222120102220022212220
410310230202333010123300
510240030101142333040
6113041152043321040
74316422403356533
oct464544277043360
983088512808786
1021213430433520
1168396244a0666
12246737ab20180
13bab5581a9110
14534a42358a1a
1526bc23b992d0
hex134b22fc46f0

21213430433520 has 160 divisors (see below), whose sum is σ = 70831463287872. Its totient is φ = 5220938612736.

The previous prime is 21213430433509. The next prime is 21213430433537. The reversal of 21213430433520 is 2533403431212.

It is a congruent number.

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, 19234974 + ... + 20307906.

Almost surely, 221213430433520 is an apocalyptic number.

21213430433520 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 21213430433520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35415731643936).

21213430433520 is an abundant number, since it is smaller than the sum of its proper divisors (49618032854352).

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

21213430433520 is a wasteful number, since it uses less digits than its factorization.

21213430433520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079299 (or 1079293 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 21213430433520 its reverse (2533403431212), we get a palindrome (23746833864732).

The spelling of 21213430433520 in words is "twenty-one trillion, two hundred thirteen billion, four hundred thirty million, four hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 6337 12674 19011 25348 31685 38022 50696 63370 76044 82381 95055 101392 126740 152088 164762 190110 247143 253480 304176 329524 380220 411905 494286 506960 659048 760440 823810 988572 1072933 1235715 1318096 1520880 1647620 1977144 2145866 2471430 3218799 3295240 3954288 4291732 4942860 5364665 6437598 6590480 8583464 9885720 10729330 12875196 13948129 16093995 17166928 19771440 21458660 25750392 27896258 32187990 41844387 42917320 51500784 55792516 64375980 69740645 83688774 85834640 111585032 128751960 139481290 167377548 209221935 223170064 257503920 278962580 334755096 418443870 557925160 669510192 836887740 1115850320 1673775480 3347550960 6799176421 13598352842 20397529263 27196705684 33995882105 40795058526 54393411368 67991764210 81590117052 88389293473 101987646315 108786822736 135983528420 163180234104 176778586946 203975292630 265167880419 271967056840 326360468208 353557173892 407950585260 441946467365 530335760838 543934113680 707114347784 815901170520 883892934730 1060671521676 1325839402095 1414228695568 1631802341040 1767785869460 2121343043352 2651678804190 3535571738920 4242686086704 5303357608380 7071143477840 10606715216760 21213430433520