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103214412301 = 71113313326171
BaseRepresentation
bin110000000100000001…
…1101111001000001101
3100212102012010101222011
41200020003233020031
53142340342143201
6115225511021221
710312515012640
oct1401003571015
9325365111864
10103214412301
113a8559326a0
121800636a811
13996b756260
144dd1d1ba57
152a41533151
hex18080ef20d

103214412301 has 32 divisors (see below), whose sum is σ = 143052005376. Its totient is φ = 71845272000.

The previous prime is 103214412277. The next prime is 103214412337.

103214412301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 103214412301 - 25 = 103214412269 is a prime.

It is a super-2 number, since 2×1032144123012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103214422301) 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, 1632055 + ... + 1694116.

It is an arithmetic number, because the mean of its divisors is an integer number (4470375168).

Almost surely, 2103214412301 is an apocalyptic number.

103214412301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103214412301 is a deficient number, since it is larger than the sum of its proper divisors (39837593075).

103214412301 is a wasteful number, since it uses less digits than its factorization.

103214412301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3326233.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 103214 and 412301, that added together give a palindrome (515515).

The spelling of 103214412301 in words is "one hundred three billion, two hundred fourteen million, four hundred twelve thousand, three hundred one".

Divisors: 1 7 11 13 31 77 91 143 217 341 403 1001 2387 2821 4433 31031 3326171 23283197 36587881 43240223 103111301 256115167 302681561 475642453 721779107 1134224311 1340446913 3329497171 7939570177 9383128391 14744916043 103214412301