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10103212314 = 2321343176121
BaseRepresentation
bin10010110100011001…
…01100100100011010
3222002002222100210200
421122030230210122
5131142410243224
64350310523030
7505236613326
oct113214544432
928062870720
1010103212314
114314aaaa48
121b5b666476
13c501b7150
146bbb4c986
153e1e995c9
hex25a32c91a

10103212314 has 24 divisors (see below), whose sum is σ = 23574162612. Its totient is φ = 3108680640.

The previous prime is 10103212313. The next prime is 10103212321. The reversal of 10103212314 is 41321230101.

It can be written as a sum of positive squares in 2 ways, for example, as 9155619225 + 947593089 = 95685^2 + 30783^2 .

It is a super-2 number, since 2×101032123142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10103212313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21587827 + ... + 21588294.

Almost surely, 210103212314 is an apocalyptic number.

10103212314 is an abundant number, since it is smaller than the sum of its proper divisors (13470950298).

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

10103212314 is a wasteful number, since it uses less digits than its factorization.

10103212314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43176142 (or 43176139 counting only the distinct ones).

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

Adding to 10103212314 its reverse (41321230101), we get a palindrome (51424442415).

The spelling of 10103212314 in words is "ten billion, one hundred three million, two hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 43176121 86352242 129528363 259056726 388585089 561289573 777170178 1122579146 1683868719 3367737438 5051606157 10103212314