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100314304133 = 3771211118089
BaseRepresentation
bin101110101101100110…
…0101100111010000101
3100120221002001122110112
41131123030230322011
53120420430213013
6114030031402405
710150611342041
oct1353314547205
9316832048415
10100314304133
11395a789a48a
1217537083405
1395c8978214
144bd8ab9021
152921b21ba8
hex175b32ce85

100314304133 has 16 divisors (see below), whose sum is σ = 104531834880. Its totient is φ = 96177513600.

The previous prime is 100314304121. The next prime is 100314304141. The reversal of 100314304133 is 331403413001.

It is a cyclic number.

It is not a de Polignac number, because 100314304133 - 216 = 100314238597 is a prime.

It is a super-2 number, since 2×1003143041332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100314304099 and 100314304108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100314304183) 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, 5536553 + ... + 5554641.

It is an arithmetic number, because the mean of its divisors is an integer number (6533239680).

Almost surely, 2100314304133 is an apocalyptic number.

It is an amenable number.

100314304133 is a deficient number, since it is larger than the sum of its proper divisors (4217530747).

100314304133 is a wasteful number, since it uses less digits than its factorization.

100314304133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20308.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 100314304133 its reverse (331403413001), we get a palindrome (431717717134).

The spelling of 100314304133 in words is "one hundred billion, three hundred fourteen million, three hundred four thousand, one hundred thirty-three".

Divisors: 1 37 71 2111 2627 18089 78107 149881 669293 1284319 5545597 38185879 47519803 1412877523 2711197409 100314304133