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113142432132 = 223244349114449
BaseRepresentation
bin110100101011111010…
…0001000000110000100
3101211001002110001212100
41221113310020012010
53323203430312012
6123551002552100
711113526543112
oct1512764100604
9354032401770
10113142432132
1143a8aa53964
1219b17208630
13a8915607c2
1456946a4ab2
152e22e238dc
hex1a57d08184

113142432132 has 72 divisors (see below), whose sum is σ = 287248197600. Its totient is φ = 37549774080.

The previous prime is 113142432107. The next prime is 113142432157. The reversal of 113142432132 is 231234241311.

113142432132 is a `hidden beast` number, since 1 + 1 + 314 + 24 + 321 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (113142432107) and next prime (113142432157).

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 = 113142432096 and 113142432105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7823244 + ... + 7837692.

It is an arithmetic number, because the mean of its divisors is an integer number (3989558300).

Almost surely, 2113142432132 is an apocalyptic number.

113142432132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113142432132 is an abundant number, since it is smaller than the sum of its proper divisors (174105765468).

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

113142432132 is a wasteful number, since it uses less digits than its factorization.

113142432132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15393 (or 15388 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 113142432132 its reverse (231234241311), we get a palindrome (344376673443).

The spelling of 113142432132 in words is "one hundred thirteen billion, one hundred forty-two million, four hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 443 491 886 982 1329 1473 1772 1964 2658 2946 3987 4419 5316 5892 7974 8838 14449 15948 17676 28898 43347 57796 86694 130041 173388 217513 260082 435026 520164 652539 870052 1305078 1957617 2610156 3915234 6400907 7094459 7830468 12801814 14188918 19202721 21283377 25603628 28377836 38405442 42566754 57608163 63850131 76810884 85133508 115216326 127700262 230432652 255400524 3142845337 6285690674 9428536011 12571381348 18857072022 28285608033 37714144044 56571216066 113142432132