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10132032000042 = 233187630222223
BaseRepresentation
bin1001001101110000110000…
…1010110001000000101010
31022212121112201201210111000
42103130030022301000222
52312000400143000132
633314331413015430
72064005125002111
oct223341412610052
938777481653430
1010132032000042
113256a74a16927
1211777a5024576
135865a5ccc834
14270570422c78
1512885638a87c
hex9370c2b102a

10132032000042 has 16 divisors (see below), whose sum is σ = 22515626666880. Its totient is φ = 3377343999996.

The previous prime is 10132031999993. The next prime is 10132032000043. The reversal of 10132032000042 is 24000023023101.

10132032000042 is a `hidden beast` number, since 101 + 320 + 3 + 200 + 0 + 0 + 42 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10132031999979 and 10132032000024.

It is not an unprimeable number, because it can be changed into a prime (10132032000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93815111058 + ... + 93815111165.

It is an arithmetic number, because the mean of its divisors is an integer number (1407226666680).

Almost surely, 210132032000042 is an apocalyptic number.

10132032000042 is an abundant number, since it is smaller than the sum of its proper divisors (12383594666838).

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

10132032000042 is a wasteful number, since it uses less digits than its factorization.

10132032000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187630222234 (or 187630222228 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10132032000042 its reverse (24000023023101), we get a palindrome (34132055023143).

The spelling of 10132032000042 in words is "ten trillion, one hundred thirty-two billion, thirty-two million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 187630222223 375260444446 562890666669 1125781333338 1688672000007 3377344000014 5066016000021 10132032000042