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114023132100 = 2232521031230023
BaseRepresentation
bin110101000110001001…
…1101110101111000100
3101220022110122021002200
41222030103232233010
53332004410211400
6124214223234500
711144412426363
oct1521423565704
9356273567080
10114023132100
11443a20a3879
121a122148a30
13a9a1b5a547
1457396397da
152e753dbb00
hex1a8c4eebc4

114023132100 has 108 divisors (see below), whose sum is σ = 360869361216. Its totient is φ = 30110938560.

The previous prime is 114023132099. The next prime is 114023132107. The reversal of 114023132100 is 1231320411.

114023132100 is a `hidden beast` number, since 1 + 140 + 2 + 313 + 210 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (114023132107) 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 35 ways as a sum of consecutive naturals, for example, 522312 + ... + 707711.

Almost surely, 2114023132100 is an apocalyptic number.

114023132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114023132100 is an abundant number, since it is smaller than the sum of its proper divisors (246846229116).

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

114023132100 is a wasteful number, since it uses less digits than its factorization.

114023132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230146 (or 1230136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 114023132100 its reverse (1231320411), we get a palindrome (115254452511).

The spelling of 114023132100 in words is "one hundred fourteen billion, twenty-three million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 103 150 180 206 225 300 309 412 450 515 618 900 927 1030 1236 1545 1854 2060 2575 3090 3708 4635 5150 6180 7725 9270 10300 15450 18540 23175 30900 46350 92700 1230023 2460046 3690069 4920092 6150115 7380138 11070207 12300230 14760276 18450345 22140414 24600460 30750575 36900690 44280828 55351035 61501150 73801380 92251725 110702070 123002300 126692369 184503450 221404140 253384738 276755175 369006900 380077107 506769476 553510350 633461845 760154214 1107020700 1140231321 1266923690 1520308428 1900385535 2280462642 2533847380 3167309225 3800771070 4560925284 5701156605 6334618450 7601542140 9501927675 11402313210 12669236900 19003855350 22804626420 28505783025 38007710700 57011566050 114023132100