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10232300131020 = 223251159379231109
BaseRepresentation
bin1001010011100110010010…
…0111010101001011001100
31100020012100120220121021200
42110321210213111023030
52320121222313143040
633432353115025500
72104154636025432
oct224714447251314
940205316817250
1010232300131020
113295548739780
12119310873b290
13592b9522c456
14275362d1cd52
1512b273ddb630
hex94e649d52cc

10232300131020 has 288 divisors, whose sum is σ = 34524506016000. Its totient is φ = 2432069660160.

The previous prime is 10232300131013. The next prime is 10232300131043. The reversal of 10232300131020 is 2013100323201.

10232300131020 is a `hidden beast` number, since 1 + 0 + 2 + 32 + 300 + 1 + 310 + 20 = 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 = 10232300130984 and 10232300131002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44159226 + ... + 44390334.

It is an arithmetic number, because the mean of its divisors is an integer number (119876757000).

Almost surely, 210232300131020 is an apocalyptic number.

10232300131020 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 10232300131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17262253008000).

10232300131020 is an abundant number, since it is smaller than the sum of its proper divisors (24292205884980).

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

10232300131020 is a wasteful number, since it uses less digits than its factorization.

10232300131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231573 (or 231568 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10232300131020 its reverse (2013100323201), we get a palindrome (12245400454221).

The spelling of 10232300131020 in words is "ten trillion, two hundred thirty-two billion, three hundred million, one hundred thirty-one thousand, twenty".