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10204102126032 = 243431657492487
BaseRepresentation
bin1001010001111101001111…
…1000011110100111010000
31100010111120102101112100120
42110133103320132213100
52314141000121013112
633411411053550240
72102136106653363
oct224372370364720
940114512345316
1010204102126032
1132845986a2221
1211897591a5380
135903202a54b9
14273c49d4a0da
1512a6735b1e8c
hex947d3e1e9d0

10204102126032 has 40 divisors (see below), whose sum is σ = 26360711752896. Its totient is φ = 3401352589056.

The previous prime is 10204102126007. The next prime is 10204102126069. The reversal of 10204102126032 is 23062120140201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10204102125993 and 10204102126011.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 20473293 + ... + 20965779.

Almost surely, 210204102126032 is an apocalyptic number.

10204102126032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10204102126032 is an abundant number, since it is smaller than the sum of its proper divisors (16156609626864).

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

10204102126032 is a wasteful number, since it uses less digits than its factorization.

10204102126032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924155 (or 924149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10204102126032 its reverse (23062120140201), we get a palindrome (33266222266233).

The spelling of 10204102126032 in words is "ten trillion, two hundred four billion, one hundred two million, one hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 431657 492487 863314 984974 1294971 1477461 1726628 1969948 2589942 2954922 3453256 3939896 5179884 5909844 6906512 7879792 10359768 11819688 20719536 23639376 212585460959 425170921918 637756382877 850341843836 1275512765754 1700683687672 2551025531508 3401367375344 5102051063016 10204102126032