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114100124112 = 24321360950921
BaseRepresentation
bin110101001000011100…
…1011011100111010000
3101220111211111212021200
41222100321123213100
53332134112432422
6124230013351200
711146336024032
oct1522071334720
9356454455250
10114100124112
1144431600037
121a143a98500
13a9b4aa6750
14574595bc52
152e7c0492ac
hex1a90e5b9d0

114100124112 has 60 divisors (see below), whose sum is σ = 343885101924. Its totient is φ = 35107729920.

The previous prime is 114100124101. The next prime is 114100124147. The reversal of 114100124112 is 211421001411.

114100124112 is a `hidden beast` number, since 1 + 1 + 410 + 0 + 1 + 241 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32820394896 + 81279729216 = 181164^2 + 285096^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 30473589 + ... + 30477332.

Almost surely, 2114100124112 is an apocalyptic number.

114100124112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114100124112 is an abundant number, since it is smaller than the sum of its proper divisors (229784977812).

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

114100124112 is a wasteful number, since it uses less digits than its factorization.

114100124112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60950948 (or 60950939 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 114100124112 its reverse (211421001411), we get a palindrome (325521125523).

The spelling of 114100124112 in words is "one hundred fourteen billion, one hundred million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 60950921 121901842 182852763 243803684 365705526 487607368 548558289 731411052 792361973 975214736 1097116578 1462822104 1584723946 2194233156 2377085919 2925644208 3169447892 4388466312 4754171838 6338895784 7131257757 8776932624 9508343676 12677791568 14262515514 19016687352 28525031028 38033374704 57050062056 114100124112