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10130311021320 = 23325719677179563
BaseRepresentation
bin1001001101101010010110…
…0101110000001100001000
31022212110002210102000111100
42103122211211300030020
52311433334110140240
633313444534301400
72063614356633330
oct223324545601410
938773083360440
1010130311021320
113256271525066
1211773a47b7860
135863905b9529
14270449a3a0c0
151287a5240e30
hex936a5970308

10130311021320 has 1536 divisors, whose sum is σ = 41353887744000. Its totient is φ = 2099751413760.

The previous prime is 10130311021291. The next prime is 10130311021331. The reversal of 10130311021320 is 2312011303101.

10130311021320 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 311 + 0 + 2 + 1 + 320 = 666.

It is a super-2 number, since 2×101303110213202 (a number of 27 digits) contains 22 as substring.

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 = 10130311021293 and 10130311021302.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17993447359 + ... + 17993447921.

It is an arithmetic number, because the mean of its divisors is an integer number (26923104000).

Almost surely, 210130311021320 is an apocalyptic number.

10130311021320 is a gapful number since it is divisible by the number (10) 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 10130311021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20676943872000).

10130311021320 is an abundant number, since it is smaller than the sum of its proper divisors (31223576722680).

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

10130311021320 is a wasteful number, since it uses less digits than its factorization.

10130311021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 816 counting only the distinct ones).

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

Adding to 10130311021320 its reverse (2312011303101), we get a palindrome (12442322324421).

The spelling of 10130311021320 in words is "ten trillion, one hundred thirty billion, three hundred eleven million, twenty-one thousand, three hundred twenty".