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102022111220 = 22517977307129
BaseRepresentation
bin101111100000011111…
…1011101111111110100
3100202100002121020100212
41133000333131333310
53132420130024340
6114511315524552
710241126431331
oct1370077357764
9322302536325
10102022111220
113a2a39051a7
1217932bb9758
13980b729163
144d1b833988
1529c1a18a65
hex17c0fddff4

102022111220 has 48 divisors (see below), whose sum is σ = 227082093840. Its totient is φ = 38368886784.

The previous prime is 102022111211. The next prime is 102022111259. The reversal of 102022111220 is 22111220201.

It can be written as a sum of positive squares in 8 ways, for example, as 4452092176 + 97570019044 = 66724^2 + 312362^2 .

It is a super-2 number, since 2×1020221112202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102022111195 and 102022111204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178616 + ... + 485744.

It is an arithmetic number, because the mean of its divisors is an integer number (4730876955).

Almost surely, 2102022111220 is an apocalyptic number.

102022111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022111220 is an abundant number, since it is smaller than the sum of its proper divisors (125059982620).

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

102022111220 is a wasteful number, since it uses less digits than its factorization.

102022111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308132 (or 308130 counting only the distinct ones).

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

Adding to 102022111220 its reverse (22111220201), we get a palindrome (124133331421).

The spelling of 102022111220 in words is "one hundred two billion, twenty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 977 1954 3908 4885 9770 16609 19540 33218 66436 83045 166090 307129 332180 614258 1228516 1535645 3071290 5221193 6142580 10442386 20884772 26105965 52211930 104423860 300065033 600130066 1200260132 1500325165 3000650330 5101105561 6001300660 10202211122 20404422244 25505527805 51011055610 102022111220