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10001302032 = 2432293892339
BaseRepresentation
bin10010101000001111…
…11100001000010000
3221211000012210011210
421110013330020100
5130440313131112
64332230340120
7502561443651
oct112407741020
927730183153
1010001302032
114272524277
121b314ba640
13c35054cc7
146ac3c1528
153d8068b3c
hex2541fc210

10001302032 has 80 divisors (see below), whose sum is σ = 26027352000. Its totient is φ = 3309261312.

The previous prime is 10001302013. The next prime is 10001302033. The reversal of 10001302032 is 23020310001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10001301999 and 10001302017.

It is not an unprimeable number, because it can be changed into a prime (10001302033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4274719 + ... + 4277057.

It is an arithmetic number, because the mean of its divisors is an integer number (325341900).

Almost surely, 210001302032 is an apocalyptic number.

10001302032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001302032 is an abundant number, since it is smaller than the sum of its proper divisors (16026049968).

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

10001302032 is a wasteful number, since it uses less digits than its factorization.

10001302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10001302032 its reverse (23020310001), we get a palindrome (33021612033).

The spelling of 10001302032 in words is "ten billion, one million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 229 389 458 687 778 916 1167 1374 1556 1832 2334 2339 2748 3112 3664 4668 4678 5496 6224 7017 9336 9356 10992 14034 18672 18712 28068 37424 56136 89081 112272 178162 267243 356324 534486 535631 712648 909871 1068972 1071262 1425296 1606893 1819742 2137944 2142524 2729613 3213786 3639484 4275888 4285048 5459226 6427572 7278968 8570096 10918452 12855144 14557936 21836904 25710288 43673808 208360459 416720918 625081377 833441836 1250162754 1666883672 2500325508 3333767344 5000651016 10001302032