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102132240030 = 23251134802667
BaseRepresentation
bin101111100011110001…
…1100100111010011110
3100202121202211100200200
41133013203210322132
53133131323140110
6114530252204330
710243634500512
oct1370743447236
9322552740620
10102132240030
113a34aa94647
1217963a696a6
1398284a8032
144d2c300142
1529cb51e6c0
hex17c78e4e9e

102132240030 has 24 divisors (see below), whose sum is σ = 265543824312. Its totient is φ = 27235263984.

The previous prime is 102132240019. The next prime is 102132240043. The reversal of 102132240030 is 30042231201.

102132240030 is a `hidden beast` number, since 1 + 0 + 213 + 22 + 400 + 30 = 666.

It is a super-3 number, since 3×1021322400303 (a number of 34 digits) contains 333 as substring.

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 = 102132239985 and 102132240012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 567401244 + ... + 567401423.

It is an arithmetic number, because the mean of its divisors is an integer number (11064326013).

Almost surely, 2102132240030 is an apocalyptic number.

102132240030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102132240030 is an abundant number, since it is smaller than the sum of its proper divisors (163411584282).

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

102132240030 is a wasteful number, since it uses less digits than its factorization.

102132240030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134802680 (or 1134802677 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102132240030 its reverse (30042231201), we get a palindrome (132174471231).

The spelling of 102132240030 in words is "one hundred two billion, one hundred thirty-two million, two hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1134802667 2269605334 3404408001 5674013335 6808816002 10213224003 11348026670 17022040005 20426448006 34044080010 51066120015 102132240030