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10313312232132 = 2236713371050431
BaseRepresentation
bin1001011000010100000101…
…0011111110001011000100
31100111221110110110202000000
42112011001103332023010
52322433130412412012
633533511545321300
72113053330361230
oct226050123761304
940457413422000
1010313312232132
11331693a984358
1211a6957496230
1359a705c4a460
1427924a2755c0
1512d41617bddc
hex961414fe2c4

10313312232132 has 336 divisors, whose sum is σ = 34204855867392. Its totient is φ = 2646478552320.

The previous prime is 10313312232127. The next prime is 10313312232193. The reversal of 10313312232132 is 23123221331301.

10313312232132 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 331 + 2 + 2 + 321 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10313312232096 and 10313312232105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9292957 + ... + 10343387.

It is an arithmetic number, because the mean of its divisors is an integer number (101800166272).

Almost surely, 210313312232132 is an apocalyptic number.

10313312232132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313312232132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102427933696).

10313312232132 is an abundant number, since it is smaller than the sum of its proper divisors (23891543635260).

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

10313312232132 is a wasteful number, since it uses less digits than its factorization.

10313312232132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050510 (or 1050493 counting only the distinct ones).

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

Adding to 10313312232132 its reverse (23123221331301), we get a palindrome (33436533563433).

The spelling of 10313312232132 in words is "ten trillion, three hundred thirteen billion, three hundred twelve million, two hundred thirty-two thousand, one hundred thirty-two".