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103123032132132 = 22328873229457351
BaseRepresentation
bin10111011100101000110011…
…101100101100101000100100
3111112010110120102020200120100
4113130220303230230220210
5102004031432211212012
61003154022243504100
730502251604233165
oct2734506354545044
9445113512220510
10103123032132132
112a9492612547a1
12b695b26988030
1345705ca0b501c
141b67277a1d76c
15bdc7002a88dc
hex5dca33b2ca24

103123032132132 has 36 divisors (see below), whose sum is σ = 260965989700416. Its totient is φ = 34335590545200.

The previous prime is 103123032132119. The next prime is 103123032132139. The reversal of 103123032132132 is 231231230321301.

103123032132132 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 2 + 303 + 2 + 1 + 321 + 32 = 666.

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

It is a super-2 number, since 2×1031230321321322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103123032132096 and 103123032132105.

It is not an unprimeable number, because it can be changed into a prime (103123032132139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1614696744 + ... + 1614760607.

It is an arithmetic number, because the mean of its divisors is an integer number (7249055269456).

Almost surely, 2103123032132132 is an apocalyptic number.

103123032132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103123032132132 is an abundant number, since it is smaller than the sum of its proper divisors (157842957568284).

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

103123032132132 is a wasteful number, since it uses less digits than its factorization.

103123032132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229458248 (or 3229458243 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103123032132132 its reverse (231231230321301), we get a palindrome (334354262453433).

The spelling of 103123032132132 in words is "one hundred three trillion, one hundred twenty-three billion, thirty-two million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 887 1774 2661 3548 5322 7983 10644 15966 31932 3229457351 6458914702 9688372053 12917829404 19376744106 29065116159 38753488212 58130232318 116260464636 2864528670337 5729057340674 8593586011011 11458114681348 17187172022022 25780758033033 34374344044044 51561516066066 103123032132132