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114123132 = 223210131387
BaseRepresentation
bin1101100110101…
…10000101111100
321221202001111200
412303112011330
5213203420012
615154015500
72554013334
oct663260574
9257661450
10114123132
1159468442
1232277590
131a849ca6
141122a0c4
15a0443dc
hex6cd617c

114123132 has 36 divisors (see below), whose sum is σ = 291343416. Its totient is φ = 37663200.

The previous prime is 114123127. The next prime is 114123137. The reversal of 114123132 is 231321411.

It is an interprime number because it is at equal distance from previous prime (114123127) and next prime (114123137).

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114123137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12058 + ... + 19329.

Almost surely, 2114123132 is an apocalyptic number.

114123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114123132 is an abundant number, since it is smaller than the sum of its proper divisors (177220284).

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

114123132 is a wasteful number, since it uses less digits than its factorization.

114123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31498 (or 31493 counting only the distinct ones).

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

The square root of 114123132 is about 10682.8428800577. The cubic root of 114123132 is about 485.0552698553.

Adding to 114123132 its reverse (231321411), we get a palindrome (345444543).

The spelling of 114123132 in words is "one hundred fourteen million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 31387 62774 94161 125548 188322 282483 376644 564966 1129932 3170087 6340174 9510261 12680348 19020522 28530783 38041044 57061566 114123132