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312220130103 = 3275323921637
BaseRepresentation
bin1001000101100011100…
…01010001101100110111
31002211220011020221211100
410202301301101230313
520103411323130403
6355233144541143
731362051213660
oct4426161215467
91084804227740
10312220130103
1111045913a982
1250615a817b3
132359977811b
141117c0a2367
1581c54132a3
hex48b1c51b37

312220130103 has 72 divisors (see below), whose sum is σ = 527664297888. Its totient is φ = 174206358144.

The previous prime is 312220130099. The next prime is 312220130111. The reversal of 312220130103 is 301031022213.

312220130103 is a `hidden beast` number, since 312 + 220 + 1 + 30 + 103 = 666.

It is not a de Polignac number, because 312220130103 - 22 = 312220130099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312220130143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 190726201 + ... + 190727837.

It is an arithmetic number, because the mean of its divisors is an integer number (7328670804).

Almost surely, 2312220130103 is an apocalyptic number.

312220130103 is a deficient number, since it is larger than the sum of its proper divisors (215444167785).

312220130103 is a wasteful number, since it uses less digits than its factorization.

312220130103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 1939 counting only the distinct ones).

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

Adding to 312220130103 its reverse (301031022213), we get a palindrome (613251152316).

The spelling of 312220130103 in words is "three hundred twelve billion, two hundred twenty million, one hundred thirty thousand, one hundred three".

Divisors: 1 3 7 9 21 53 63 159 239 371 477 717 1113 1637 1673 2151 3339 4911 5019 11459 12667 14733 15057 34377 38001 57121 86761 88669 103131 114003 171363 260283 266007 391243 399847 514089 607327 780849 798021 1173729 1199541 1821981 2738701 3027413 3521187 3598623 5465943 8216103 9082239 20735879 21191891 24648309 27246717 62207637 63575673 93507077 145151153 186622911 190727019 280521231 435453459 654549539 841563693 1306360377 1963648617 4955875081 5890945851 14867625243 34691125567 44602875729 104073376701 312220130103