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102013311314 = 23729313613457
BaseRepresentation
bin101111100000001110…
…1111001100101010010
3100202022111001011011102
41133000131321211102
53132410401430224
6114510403144402
710240661560535
oct1370035714522
9322274034142
10102013311314
113a299944752
1217930075102
139809967905
144d1a5c2a1c
1529c0d7b4ae
hex17c0779952

102013311314 has 32 divisors (see below), whose sum is σ = 157853522736. Its totient is φ = 49408081920.

The previous prime is 102013311313. The next prime is 102013311317. The reversal of 102013311314 is 413113310201.

It can be written as a sum of positive squares in 8 ways, for example, as 50021559025 + 51991752289 = 223655^2 + 228017^2 .

It is not an unprimeable number, because it can be changed into a prime (102013311311) 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 15 ways as a sum of consecutive naturals, for example, 29507474 + ... + 29510930.

Almost surely, 2102013311314 is an apocalyptic number.

102013311314 is a deficient number, since it is larger than the sum of its proper divisors (55840211422).

102013311314 is a wasteful number, since it uses less digits than its factorization.

102013311314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102013311314 its reverse (413113310201), we get a palindrome (515126621515).

The spelling of 102013311314 in words is "one hundred two billion, thirteen million, three hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 37 74 293 586 1361 2722 3457 6914 10841 21682 50357 100714 127909 255818 398773 797546 1012901 2025802 4704977 9409954 14754601 29509202 37477337 74954674 174084149 348168298 1378558261 2757116522 51006655657 102013311314