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314402110100 = 225213241847777
BaseRepresentation
bin1001001001100111101…
…00110111101010010100
31010001112020001000200022
410210303310313222110
520122343420010400
6400233452204312
731500114561461
oct4446364675224
91101466030608
10314402110100
11111378881831
1250b24769698
132385683a650
1411307bac668
1582a1c70b85
hex4933d37a94

314402110100 has 36 divisors (see below), whose sum is σ = 734733549564. Its totient is φ = 116086932480.

The previous prime is 314402110093. The next prime is 314402110147. The reversal of 314402110100 is 1011204413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 72719751556 + 241682358544 = 269666^2 + 491612^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120922589 + ... + 120925188.

Almost surely, 2314402110100 is an apocalyptic number.

It is an amenable number.

314402110100 is an abundant number, since it is smaller than the sum of its proper divisors (420331439464).

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

314402110100 is a wasteful number, since it uses less digits than its factorization.

314402110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241847804 (or 241847797 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 314402110100 its reverse (1011204413), we get a palindrome (315413314513).

The spelling of 314402110100 in words is "three hundred fourteen billion, four hundred two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 241847777 483695554 967391108 1209238885 2418477770 3144021101 4836955540 6046194425 6288042202 12092388850 12576084404 15720105505 24184777700 31440211010 62880422020 78600527525 157201055050 314402110100