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103012210301 = 71121319492389
BaseRepresentation
bin101111111110000000…
…0011001011001111101
3100211220002122110222012
41133330000121121331
53141432111212201
6115153445101005
710304511224510
oct1377400313175
9324802573865
10103012210301
113a761786300
1217b6a6b7765
1399388aa8c0
144db3124d77
152a2d8e15bb
hex17fc01967d

103012210301 has 48 divisors (see below), whose sum is σ = 146692828800. Its totient is φ = 70194833280.

The previous prime is 103012210229. The next prime is 103012210321.

103012210301 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-103012210301 is a prime.

It is a super-2 number, since 2×1030122103012 (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 (103012210321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36986 + ... + 455403.

It is an arithmetic number, because the mean of its divisors is an integer number (3056100600).

Almost surely, 2103012210301 is an apocalyptic number.

103012210301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103012210301 is a deficient number, since it is larger than the sum of its proper divisors (43680618499).

103012210301 is a wasteful number, since it uses less digits than its factorization.

103012210301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492450 (or 492439 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 103012 and 210301, that added together give a palindrome (313313).

The spelling of 103012210301 in words is "one hundred three billion, twelve million, two hundred ten thousand, three hundred one".

Divisors: 1 7 11 13 19 77 91 121 133 143 209 247 847 1001 1463 1573 1729 2299 2717 11011 16093 19019 29887 209209 492389 3446723 5416279 6401057 9355391 37913953 44807399 59579069 65487737 70411627 102909301 121620083 417053483 492881389 720365107 774527897 851340581 1132002311 1337820913 5421695279 7924016177 9364746391 14716030043 103012210301