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102123221013 = 3311456175389
BaseRepresentation
bin101111100011100000…
…1001011000000010101
3100202121010212010221000
41133013001023000111
53133122021033023
6114525331013513
710243465025142
oct1370701130025
9322533763830
10102123221013
113a345994510
1217960a3a299
13982666ab38
144d2b0333c9
1529ca83c243
hex17c704b015

102123221013 has 32 divisors (see below), whose sum is σ = 165086006400. Its totient is φ = 61878470400.

The previous prime is 102123220957. The next prime is 102123221021. The reversal of 102123221013 is 310122321201.

It is a de Polignac number, because none of the positive numbers 2k-102123221013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123221023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316923 + ... + 1392311.

It is an arithmetic number, because the mean of its divisors is an integer number (5158937700).

Almost surely, 2102123221013 is an apocalyptic number.

It is an amenable number.

102123221013 is a deficient number, since it is larger than the sum of its proper divisors (62962785387).

102123221013 is a wasteful number, since it uses less digits than its factorization.

102123221013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79970 (or 79964 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102123221013 its reverse (310122321201), we get a palindrome (412245542214).

The spelling of 102123221013 in words is "one hundred two billion, one hundred twenty-three million, two hundred twenty-one thousand, thirteen".

Divisors: 1 3 9 11 27 33 99 297 4561 13683 41049 50171 75389 123147 150513 226167 451539 678501 829279 1354617 2035503 2487837 7463511 22390533 343849229 1031547687 3094643061 3782341519 9283929183 11347024557 34041073671 102123221013