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10102010321 = 1336437151
BaseRepresentation
bin10010110100010000…
…00111000111010001
3222002000201021222102
421122020013013101
5131142103312241
64350225050145
7505223446064
oct113210070721
928060637872
1010102010321
114314359967
121b5b186955
13c4cb86000
146bb9188db
153e1d0d39b
hex25a2071d1

10102010321 has 16 divisors (see below), whose sum is σ = 10962013440. Its totient is φ = 9309128400.

The previous prime is 10102010311. The next prime is 10102010327. The reversal of 10102010321 is 12301020101.

It is a de Polignac number, because none of the positive numbers 2k-10102010321 is a prime.

It is a super-2 number, since 2×101020103212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102010327) 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, 1409096 + ... + 1416246.

It is an arithmetic number, because the mean of its divisors is an integer number (685125840).

Almost surely, 210102010321 is an apocalyptic number.

It is an amenable number.

10102010321 is a deficient number, since it is larger than the sum of its proper divisors (860003119).

10102010321 is an frugal number, since it uses more digits than its factorization.

10102010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10102010321 its reverse (12301020101), we get a palindrome (22403030422).

The spelling of 10102010321 in words is "ten billion, one hundred two million, ten thousand, three hundred twenty-one".

Divisors: 1 13 169 643 2197 7151 8359 92963 108667 1208519 1412671 4598093 15710747 59775209 777077717 10102010321