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114122316 = 2237111131093
BaseRepresentation
bin1101100110101…
…01111001001100
321221202000101110
412303111321030
5213203403231
615154012020
72554011060
oct663257114
9257660343
10114122316
1159467870
1232277010
131a8497c9
1411229aa0
15a044046
hex6cd5e4c

114122316 has 96 divisors (see below), whose sum is σ = 335236608. Its totient is φ = 29352960.

The previous prime is 114122299. The next prime is 114122329. The reversal of 114122316 is 613221411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114122292 and 114122301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103866 + ... + 104958.

It is an arithmetic number, because the mean of its divisors is an integer number (3492048).

Almost surely, 2114122316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114122316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167618304).

114122316 is an abundant number, since it is smaller than the sum of its proper divisors (221114292).

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

114122316 is a wasteful number, since it uses less digits than its factorization.

114122316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1229 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 114122316 is about 10682.8046879085. The cubic root of 114122316 is about 485.0541137764.

Adding to 114122316 its reverse (613221411), we get a palindrome (727343727).

The spelling of 114122316 in words is "one hundred fourteen million, one hundred twenty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 113 132 154 226 231 308 339 452 462 678 791 924 1093 1243 1356 1582 2186 2373 2486 3164 3279 3729 4372 4746 4972 6558 7458 7651 8701 9492 12023 13116 14916 15302 17402 22953 24046 26103 30604 34804 36069 45906 48092 52206 72138 84161 91812 104412 123509 144276 168322 247018 252483 336644 370527 494036 504966 741054 864563 1009932 1358599 1482108 1729126 2593689 2717198 3458252 4075797 5187378 5434396 8151594 9510193 10374756 16303188 19020386 28530579 38040772 57061158 114122316