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10022022122220 = 2232558393953503
BaseRepresentation
bin1001000111010110111100…
…0100011000101011101100
31022111002120221201222021200
42101311233010120223230
52303200100130402340
633152015311325500
72053032023321253
oct221655704305354
938432527658250
1010022022122220
11321435223a429
12115a402b20890
135790c3754884
142690d5bcb79a
15125a68491330
hex91d6f118aec

10022022122220 has 72 divisors (see below), whose sum is σ = 30400686266496. Its totient is φ = 2672490661632.

The previous prime is 10022022122213. The next prime is 10022022122263. The reversal of 10022022122220 is 2222122022001.

10022022122220 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 221 + 2 + 2 + 220 = 666.

10022022122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10022022122193 and 10022022122202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10033989 + ... + 10987491.

Almost surely, 210022022122220 is an apocalyptic number.

10022022122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022022122220 is an abundant number, since it is smaller than the sum of its proper divisors (20378664144276).

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

10022022122220 is a wasteful number, since it uses less digits than its factorization.

10022022122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011911 (or 1011906 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10022022122220 its reverse (2222122022001), we get a palindrome (12244144144221).

The spelling of 10022022122220 in words is "ten trillion, twenty-two billion, twenty-two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 58393 116786 175179 233572 291965 350358 525537 583930 700716 875895 953503 1051074 1167860 1751790 1907006 2102148 2627685 2860509 3503580 3814012 4767515 5255370 5721018 8581527 9535030 10510740 11442036 14302545 17163054 19070060 28605090 34326108 42907635 57210180 85815270 171630540 55677900679 111355801358 167033702037 222711602716 278389503395 334067404074 501101106111 556779006790 668134808148 835168510185 1002202212222 1113558013580 1670337020370 2004404424444 2505505530555 3340674040740 5011011061110 10022022122220