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314011311100 = 225223136526657
BaseRepresentation
bin1001001000111001000…
…10000101101111111100
31010000111222200101020021
410210130202011233330
520121043343423400
6400131012101524
731454331051004
oct4443442055774
91100458611207
10314011311100
11111198220753
1250a359048a4
13237c389b036
14112abd21004
15827c7c871a
hex491c885bfc

314011311100 has 36 divisors (see below), whose sum is σ = 711030834864. Its totient is φ = 120143457280.

The previous prime is 314011311091. The next prime is 314011311127. The reversal of 314011311100 is 1113110413.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 68261029 + ... + 68265628.

It is an arithmetic number, because the mean of its divisors is an integer number (19750856524).

Almost surely, 2314011311100 is an apocalyptic number.

It is an amenable number.

314011311100 is an abundant number, since it is smaller than the sum of its proper divisors (397019523764).

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

314011311100 is a wasteful number, since it uses less digits than its factorization.

314011311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136526694 (or 136526687 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 314011311100 its reverse (1113110413), we get a palindrome (315124421513).

The spelling of 314011311100 in words is "three hundred fourteen billion, eleven million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 136526657 273053314 546106628 682633285 1365266570 2730533140 3140113111 3413166425 6280226222 6826332850 12560452444 13652665700 15700565555 31401131110 62802262220 78502827775 157005655550 314011311100