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10012312131030 = 23251119787676349
BaseRepresentation
bin1001000110110010110001…
…0011101101010111010110
31022110011112020200022110100
42101230230103231113112
52303020203401143110
633143332004434530
72052236266624116
oct221545423552726
938404466608410
1010012312131030
11321021a1a5320
1211585530a8a46
13578206b77661
1426885439b046
1512569acbbbc0
hex91b2c4ed5d6

10012312131030 has 192 divisors, whose sum is σ = 29931247008000. Its totient is φ = 2296553160960.

The previous prime is 10012312131001. The next prime is 10012312131061. The reversal of 10012312131030 is 3013121321001.

10012312131030 is a `hidden beast` number, since 1 + 0 + 0 + 12 + 312 + 1 + 310 + 30 = 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 = 10012312130994 and 10012312131012.

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 95 ways as a sum of consecutive naturals, for example, 14465296 + ... + 15141644.

It is an arithmetic number, because the mean of its divisors is an integer number (155891911500).

Almost surely, 210012312131030 is an apocalyptic number.

10012312131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012312131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14965623504000).

10012312131030 is an abundant number, since it is smaller than the sum of its proper divisors (19918934876970).

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

10012312131030 is a wasteful number, since it uses less digits than its factorization.

10012312131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677179 (or 677176 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10012312131030 its reverse (3013121321001), we get a palindrome (13025433452031).

The spelling of 10012312131030 in words is "ten trillion, twelve billion, three hundred twelve million, one hundred thirty-one thousand, thirty".