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102302121220 = 225131303730181
BaseRepresentation
bin101111101000110101…
…1100111110100000100
3100210001121111012212121
41133101223213310010
53134003320334340
6114555201255324
710251066453115
oct1372153476404
9323047435777
10102302121220
113a427975922
12179b0934544
139854748250
144d46ac220c
1529db3c994a
hex17d1ae7d04

102302121220 has 48 divisors (see below), whose sum is σ = 231385594608. Its totient is φ = 37768942080.

The previous prime is 102302121209. The next prime is 102302121221. The reversal of 102302121220 is 22121203201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3955906816 + 98346214404 = 62896^2 + 313602^2 .

It is a super-2 number, since 2×1023021212202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102302121194 and 102302121203.

It is not an unprimeable number, because it can be changed into a prime (102302121221) 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, 3374530 + ... + 3404710.

It is an arithmetic number, because the mean of its divisors is an integer number (4820533221).

Almost surely, 2102302121220 is an apocalyptic number.

102302121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102302121220 is an abundant number, since it is smaller than the sum of its proper divisors (129083473388).

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

102302121220 is a wasteful number, since it uses less digits than its factorization.

102302121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43240 (or 43238 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102302121220 its reverse (22121203201), we get a palindrome (124423324421).

The spelling of 102302121220 in words is "one hundred two billion, three hundred two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 13037 26074 30181 52148 60362 65185 120724 130370 150905 169481 260740 301810 338962 392353 603620 677924 784706 847405 1569412 1694810 1961765 3389620 3923530 7847060 393469697 786939394 1573878788 1967348485 3934696970 5115106061 7869393940 10230212122 20460424244 25575530305 51151060610 102302121220