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311100493 = 111712171367
BaseRepresentation
bin10010100010110…
…000010001001101
3210200101112122111
4102202300101031
51114120203433
650511544021
710465211344
oct2242602115
9720345574
10311100493
1114a676450
128822b011
134c5b6542
142d462b5b
151c4a2dcd
hex128b044d

311100493 has 16 divisors (see below), whose sum is σ = 359904384. Its totient is φ = 265768960.

The previous prime is 311100463. The next prime is 311100521. The reversal of 311100493 is 394001113.

It is a cyclic number.

It is not a de Polignac number, because 311100493 - 221 = 309003341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311100443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226896 + ... + 228262.

It is an arithmetic number, because the mean of its divisors is an integer number (22494024).

Almost surely, 2311100493 is an apocalyptic number.

It is an amenable number.

311100493 is a deficient number, since it is larger than the sum of its proper divisors (48803891).

311100493 is a wasteful number, since it uses less digits than its factorization.

311100493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 311100493 is about 17638.0410760379. The cubic root of 311100493 is about 677.5898624012.

The spelling of 311100493 in words is "three hundred eleven million, one hundred thousand, four hundred ninety-three".

Divisors: 1 11 17 187 1217 1367 13387 15037 20689 23239 227579 255629 1663639 18300029 28281863 311100493