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21221110320 = 2435285730949
BaseRepresentation
bin10011110000111000…
…000111001000110000
32000202221021002200220
4103300320013020300
5321430101012240
613425430013040
71350610314204
oct236070071060
960687232626
1021221110320
118aaa844303
124142aa7180
132002680a17
14105454cb04
158430765d0
hex4f0e07230

21221110320 has 80 divisors (see below), whose sum is σ = 65810594400. Its totient is φ = 5656799232.

The previous prime is 21221110307. The next prime is 21221110321. The reversal of 21221110320 is 2301112212.

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

It is a super-2 number, since 2×212211103202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21221110320.

It is not an unprimeable number, because it can be changed into a prime (21221110321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670206 + ... + 701154.

It is an arithmetic number, because the mean of its divisors is an integer number (822632430).

Almost surely, 221221110320 is an apocalyptic number.

21221110320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21221110320 is an abundant number, since it is smaller than the sum of its proper divisors (44589484080).

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

21221110320 is a wasteful number, since it uses less digits than its factorization.

21221110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33822 (or 33816 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21221110320 its reverse (2301112212), we get a palindrome (23522222532).

The spelling of 21221110320 in words is "twenty-one billion, two hundred twenty-one million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2857 5714 8571 11428 14285 17142 22856 28570 30949 34284 42855 45712 57140 61898 68568 85710 92847 114280 123796 137136 154745 171420 185694 228560 247592 309490 342840 371388 464235 495184 618980 685680 742776 928470 1237960 1485552 1856940 2475920 3713880 7427760 88421293 176842586 265263879 353685172 442106465 530527758 707370344 884212930 1061055516 1326319395 1414740688 1768425860 2122111032 2652638790 3536851720 4244222064 5305277580 7073703440 10610555160 21221110320