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21304050320 = 2457103433853
BaseRepresentation
bin10011110101110100…
…100000001010010000
32000222201022212222202
4103311310200022100
5322112314102240
613441551422332
71352635303610
oct236564401220
960881285882
1021304050320
119042643363
1241668249a8
132016900347
14106157ca40
1584a4ab315
hex4f5d20290

21304050320 has 160 divisors (see below), whose sum is σ = 57356662272. Its totient is φ = 7208165376.

The previous prime is 21304050203. The next prime is 21304050331. The reversal of 21304050320 is 2305040312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21304050292 and 21304050301.

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, 24975014 + ... + 24975866.

Almost surely, 221304050320 is an apocalyptic number.

21304050320 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 21304050320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28678331136).

21304050320 is an abundant number, since it is smaller than the sum of its proper divisors (36052611952).

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

21304050320 is a wasteful number, since it uses less digits than its factorization.

21304050320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 21304050320 its reverse (2305040312), we get a palindrome (23609090632).

The spelling of 21304050320 in words is "twenty-one billion, three hundred four million, fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 103 112 140 206 280 412 433 515 560 721 824 853 866 1030 1442 1648 1706 1732 2060 2165 2884 3031 3412 3464 3605 4120 4265 4330 5768 5971 6062 6824 6928 7210 8240 8530 8660 11536 11942 12124 13648 14420 15155 17060 17320 23884 24248 28840 29855 30310 34120 34640 44599 47768 48496 57680 59710 60620 68240 87859 89198 95536 119420 121240 175718 178396 222995 238840 242480 312193 351436 356792 369349 439295 445990 477680 615013 624386 702872 713584 738698 878590 891980 1230026 1248772 1405744 1477396 1560965 1757180 1783960 1846745 2460052 2497544 2585443 2954792 3075065 3121930 3514360 3567920 3693490 4920104 4995088 5170886 5909584 6150130 6243860 7028720 7386980 9840208 10341772 12300260 12487720 12927215 14773960 20683544 24600520 24975440 25854430 29547920 38042947 41367088 49201040 51708860 76085894 103417720 152171788 190214735 206835440 266300629 304343576 380429470 532601258 608687152 760858940 1065202516 1331503145 1521717880 2130405032 2663006290 3043435760 4260810064 5326012580 10652025160 21304050320