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100131223293 = 3211125691477
BaseRepresentation
bin101110101000001001…
…0010011011011111101
3100120110022120011202200
41131100102103123331
53120032043121133
6113555531342113
710143226232463
oct1352022233375
9316408504680
10100131223293
1139513513102
12174a58b1939
139599a65c6a
144bbc65c833
152910a0a913
hex17504936fd

100131223293 has 6 divisors (see below), whose sum is σ = 144633989214. Its totient is φ = 66754148856.

The previous prime is 100131223279. The next prime is 100131223321. The reversal of 100131223293 is 392322131001.

It can be written as a sum of positive squares in only one way, i.e., 97417021689 + 2714201604 = 312117^2 + 52098^2 .

It is not a de Polignac number, because 100131223293 - 25 = 100131223261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131223253) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5562845730 + ... + 5562845747.

It is an arithmetic number, because the mean of its divisors is an integer number (24105664869).

Almost surely, 2100131223293 is an apocalyptic number.

It is an amenable number.

100131223293 is a deficient number, since it is larger than the sum of its proper divisors (44502765921).

100131223293 is a wasteful number, since it uses less digits than its factorization.

100131223293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11125691483 (or 11125691480 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 100131223293 its reverse (392322131001), we get a palindrome (492453354294).

The spelling of 100131223293 in words is "one hundred billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred ninety-three".

Divisors: 1 3 9 11125691477 33377074431 100131223293