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102121122213 = 32117271418881
BaseRepresentation
bin101111100011011100…
…1001010100110100101
3100202120222220111220200
41133012321022212211
53133121001402323
6114525214021113
710243441134165
oct1370671124645
9322528814820
10102121122213
113a344790670
12179601a7799
1398260b4746
144d2aa485a5
1529ca575443
hex17c6e4a9a5

102121122213 has 24 divisors (see below), whose sum is σ = 161139590976. Its totient is φ = 61806412800.

The previous prime is 102121122209. The next prime is 102121122223. The reversal of 102121122213 is 312221121201.

It is not a de Polignac number, because 102121122213 - 22 = 102121122209 is a prime.

It is a super-3 number, since 3×1021211222133 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121122223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637468 + ... + 781413.

It is an arithmetic number, because the mean of its divisors is an integer number (6714149624).

Almost surely, 2102121122213 is an apocalyptic number.

It is an amenable number.

102121122213 is a deficient number, since it is larger than the sum of its proper divisors (59018468763).

102121122213 is a wasteful number, since it uses less digits than its factorization.

102121122213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419625 (or 1419622 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102121122213 its reverse (312221121201), we get a palindrome (414342243414).

The spelling of 102121122213 in words is "one hundred two billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 99 727 2181 6543 7997 23991 71973 1418881 4256643 12769929 15607691 46823073 140469219 1031526487 3094579461 9283738383 11346791357 34040374071 102121122213