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102234123133140 = 22357323341124003
BaseRepresentation
bin10111001111101100111100…
…100101111110000011010100
3111101222111010211010211111010
4113033230330211332003110
5101400000441010230030
61001233412515012220
730351112606350435
oct2717547445760324
9441874124124433
10102234123133140
112a6362802a8139
12b5717a8b9a070
13450783736600b
141b3622d63548c
15bc45267e46b0
hex5cfb3c97e0d4

102234123133140 has 48 divisors (see below), whose sum is σ = 290176853617728. Its totient is φ = 26888974850304.

The previous prime is 102234123133133. The next prime is 102234123133147. The reversal of 102234123133140 is 41331321432201.

It is an interprime number because it is at equal distance from previous prime (102234123133133) and next prime (102234123133147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 102234123133098 and 102234123133107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102234123133147) 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, 11670557622 + ... + 11670566381.

It is an arithmetic number, because the mean of its divisors is an integer number (6045351117036).

Almost surely, 2102234123133140 is an apocalyptic number.

102234123133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102234123133140 is an abundant number, since it is smaller than the sum of its proper divisors (187942730484588).

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

102234123133140 is a wasteful number, since it uses less digits than its factorization.

102234123133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23341124088 (or 23341124086 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 102234123133140 its reverse (41331321432201), we get a palindrome (143565444565341).

The spelling of 102234123133140 in words is "one hundred two trillion, two hundred thirty-four billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 23341124003 46682248006 70023372009 93364496012 116705620015 140046744018 233411240030 280093488036 350116860045 466822480060 700233720090 1400467440180 1703902052219 3407804104438 5111706156657 6815608208876 8519510261095 10223412313314 17039020522190 20446824626628 25558530783285 34078041044380 51117061566570 102234123133140