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100330312221 = 3211147812469
BaseRepresentation
bin101110101110000100…
…1110001001000011101
3100120222012011221102200
41131130021301020131
53120434024442341
6114031402442113
710151164403616
oct1353411611035
9316865157380
10100330312221
1139605933607
1217540503339
1395cc091669
144bdac84c0d
152923234db6
hex175c27121d

100330312221 has 6 divisors (see below), whose sum is σ = 144921562110. Its totient is φ = 66886874808.

The previous prime is 100330312217. The next prime is 100330312261. The reversal of 100330312221 is 122213033001.

100330312221 is a `hidden beast` number, since 1 + 0 + 0 + 330 + 312 + 2 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72961572996 + 27368739225 = 270114^2 + 165435^2 .

It is not a de Polignac number, because 100330312221 - 22 = 100330312217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100330312194 and 100330312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100330312261) 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, 5573906226 + ... + 5573906243.

It is an arithmetic number, because the mean of its divisors is an integer number (24153593685).

Almost surely, 2100330312221 is an apocalyptic number.

It is an amenable number.

100330312221 is a deficient number, since it is larger than the sum of its proper divisors (44591249889).

100330312221 is a wasteful number, since it uses less digits than its factorization.

100330312221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11147812475 (or 11147812472 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100330312221 its reverse (122213033001), we get a palindrome (222543345222).

The spelling of 100330312221 in words is "one hundred billion, three hundred thirty million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11147812469 33443437407 100330312221