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100313211303 = 3267951117491
BaseRepresentation
bin101110101101100100…
…0100010000110100111
3100120221000000010101100
41131123020202012213
53120420140230203
6114025552131143
710150566140664
oct1353310420647
9316830003340
10100313211303
11395a7213418
1217536836ab3
1395c8684986
144bd88b2a6b
1529219a7ea3
hex175b2221a7

100313211303 has 24 divisors (see below), whose sum is σ = 147083371136. Its totient is φ = 65866640400.

The previous prime is 100313211283. The next prime is 100313211347. The reversal of 100313211303 is 303112313001.

It is a happy number.

100313211303 is a `hidden beast` number, since 10 + 0 + 31 + 321 + 1 + 303 = 666.

It is not a de Polignac number, because 100313211303 - 221 = 100311114151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313211403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5726388 + ... + 5743878.

Almost surely, 2100313211303 is an apocalyptic number.

100313211303 is a deficient number, since it is larger than the sum of its proper divisors (46770159833).

100313211303 is a wasteful number, since it uses less digits than its factorization.

100313211303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27075 (or 27072 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100313211303 its reverse (303112313001), we get a palindrome (403425524304).

The spelling of 100313211303 in words is "one hundred billion, three hundred thirteen million, two hundred eleven thousand, three hundred three".

Divisors: 1 3 9 67 201 603 9511 17491 28533 52473 85599 157419 637237 1171897 1911711 3515691 5735133 10547073 166356901 499070703 1497212109 11145912367 33437737101 100313211303