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10123142121 = 322102353503
BaseRepresentation
bin10010110110110001…
…01110001111101001
3222010111110220100200
421123120232033221
5131213011021441
64352302022413
7505601200611
oct113330561751
928114426320
1010123142121
114325282564
121b66277a09
13c54374631
146c0659a41
153e3ad47b6
hex25b62e3e9

10123142121 has 12 divisors (see below), whose sum is σ = 14623285248. Its totient is φ = 6748314264.

The previous prime is 10123142119. The next prime is 10123142123. The reversal of 10123142121 is 12124132101.

10123142121 is a `hidden beast` number, since 10 + 1 + 231 + 421 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10123142119) and next prime (10123142123).

It is not a de Polignac number, because 10123142121 - 21 = 10123142119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10123142094 and 10123142103.

It is not an unprimeable number, because it can be changed into a prime (10123142123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162456 + ... + 215958.

It is an arithmetic number, because the mean of its divisors is an integer number (1218607104).

Almost surely, 210123142121 is an apocalyptic number.

It is an amenable number.

10123142121 is a deficient number, since it is larger than the sum of its proper divisors (4500143127).

10123142121 is a wasteful number, since it uses less digits than its factorization.

10123142121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74532 (or 74529 counting only the distinct ones).

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

Adding to 10123142121 its reverse (12124132101), we get a palindrome (22247274222).

The spelling of 10123142121 in words is "ten billion, one hundred twenty-three million, one hundred forty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 21023 53503 63069 160509 189207 481527 1124793569 3374380707 10123142121