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313225121104 = 24771187920963
BaseRepresentation
bin1001000111011011010…
…11000000110101010000
31002221111012022210022021
410203231223000311100
520112441112333404
6355521005221224
731426003412620
oct4435553006520
91087435283267
10313225121104
11110924462555
1250856561814
13236c9a41c5c
141123574c880
15823377d454
hex48edac0d50

313225121104 has 80 divisors (see below), whose sum is σ = 703746385920. Its totient is φ = 132271896960.

The previous prime is 313225121093. The next prime is 313225121219. The reversal of 313225121104 is 401121522313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14931327 + ... + 14952289.

It is an arithmetic number, because the mean of its divisors is an integer number (8796829824).

Almost surely, 2313225121104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313225121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351873192960).

313225121104 is an abundant number, since it is smaller than the sum of its proper divisors (390521264816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313225121104 is a wasteful number, since it uses less digits than its factorization.

313225121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22928 (or 22922 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 313225121104 its reverse (401121522313), we get a palindrome (714346643417).

The spelling of 313225121104 in words is "three hundred thirteen billion, two hundred twenty-five million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1879 1988 3758 3976 7516 7952 13153 15032 20963 26306 30064 41926 52612 83852 105224 133409 146741 167704 210448 266818 293482 335408 533636 586964 933863 1067272 1173928 1488373 1867726 2134544 2347856 2976746 3735452 5953492 7470904 10418611 11906984 14941808 20837222 23813968 39389477 41674444 78778954 83348888 157557908 166697776 275726339 315115816 551452678 630231632 1102905356 2205810712 2796652867 4411621424 5593305734 11186611468 19576570069 22373222936 39153140138 44746445872 78306280276 156612560552 313225121104