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10314123224104 = 237253496444129
BaseRepresentation
bin1001011000010111000110…
…1001101010010000101000
31100112000112222111101211201
42112011301221222100220
52322441311021132404
633534124235533544
72113112405605300
oct226056151522050
940460488441751
1010314123224104
113317216742657
1211a6b42bba2b4
1359a804c7b56b
142792c5c62600
1512d462475ca4
hex96171a6a428

10314123224104 has 48 divisors (see below), whose sum is σ = 22920825482100. Its totient is φ = 4336935902208.

The previous prime is 10314123224101. The next prime is 10314123224113. The reversal of 10314123224104 is 40142232141301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10040596316100 + 273526908004 = 3168690^2 + 522998^2 .

It is a super-2 number, since 2×103141232241042 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10314123224101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248201289 + ... + 248242840.

Almost surely, 210314123224104 is an apocalyptic number.

10314123224104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10314123224104 is an abundant number, since it is smaller than the sum of its proper divisors (12606702257996).

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

10314123224104 is a wasteful number, since it uses less digits than its factorization.

10314123224104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496444202 (or 496444191 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10314123224104 its reverse (40142232141301), we get a palindrome (50456355365405).

The spelling of 10314123224104 in words is "ten trillion, three hundred fourteen billion, one hundred twenty-three million, two hundred twenty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 371 392 424 742 1484 2597 2968 5194 10388 20776 496444129 992888258 1985776516 3475108903 3971553032 6950217806 13900435612 24325762321 26311538837 27800871224 48651524642 52623077674 97303049284 105246155348 184180771859 194606098568 210492310696 368361543718 736723087436 1289265403013 1473446174872 2578530806026 5157061612052 10314123224104