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221002211010020 = 225117513253411197
BaseRepresentation
bin110010010000000000010110…
…010010000010010111100100
31001222111121100001220221021012
4302100000112102002113210
5212431400012004310040
62102011003015441352
764356611545352006
oct6220002622022744
91058447301827235
10221002211010020
1164466569665890
1220953861386258
13964155a9262ab
143c807c7bd0376
151a83b94830865
hexc900164825e4

221002211010020 has 96 divisors (see below), whose sum is σ = 507127216974336. Its totient is φ = 80232563520000.

The previous prime is 221002211010019. The next prime is 221002211010083. The reversal of 221002211010020 is 20010112200122.

It is a junction number, because it is equal to n+sod(n) for n = 221002211009977 and 221002211010004.

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, 537255062 + ... + 537666258.

It is an arithmetic number, because the mean of its divisors is an integer number (5282575176816).

Almost surely, 2221002211010020 is an apocalyptic number.

221002211010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002211010020 is an abundant number, since it is smaller than the sum of its proper divisors (286125005964316).

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

221002211010020 is a wasteful number, since it uses less digits than its factorization.

221002211010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415221 (or 415219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221002211010020 its reverse (20010112200122), we get a palindrome (241012323210142).

The spelling of 221002211010020 in words is "two hundred twenty-one trillion, two billion, two hundred eleven million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 751 1502 3004 3253 3755 6506 7510 8261 13012 15020 16265 16522 32530 33044 35783 41305 65060 71566 82610 143132 165220 178915 357830 411197 715660 822394 1644788 2055985 2443003 4111970 4523167 4886006 8223940 9046334 9772012 12215015 18092668 22615835 24430030 26873033 45231670 48860060 53746066 90463340 107492132 134365165 268730330 308808947 537460660 617617894 1235235788 1337623841 1544044735 2675247682 3088089470 3396898417 5350495364 6176178940 6688119205 6793796834 13376238410 13587593668 14713862251 16984492085 26752476820 29427724502 33968984170 58855449004 67937968340 73569311255 147138622510 294277245020 1004555504591 2009111009182 4018222018364 5022777522955 10045555045910 11050110550501 20091110091820 22100221101002 44200442202004 55250552752505 110501105505010 221002211010020