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130021022011320 = 2332511261277176651
BaseRepresentation
bin11101100100000011100000…
…110101001000111110111000
3122001100212222120122002222200
4131210003200311020332320
5114020231023113330240
61140310455524350200
736246465063643266
oct3544034065107670
9561325876562880
10130021022011320
1138479673314500
12126bab41245360
135771c11905a3b
1424170a00c1436
151007229de2930
hex7640e0d48fb8

130021022011320 has 576 divisors, whose sum is σ = 473797262221920. Its totient is φ = 30891421440000.

The previous prime is 130021022011303. The next prime is 130021022011337. The reversal of 130021022011320 is 23110220120031.

130021022011320 is a `hidden beast` number, since 1 + 300 + 2 + 10 + 2 + 20 + 11 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (130021022011303) and next prime (130021022011337).

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 = 130021022011293 and 130021022011302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 735944995 + ... + 736121645.

Almost surely, 2130021022011320 is an apocalyptic number.

130021022011320 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 130021022011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236898631110960).

130021022011320 is an abundant number, since it is smaller than the sum of its proper divisors (343776240210600).

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

130021022011320 is a wasteful number, since it uses less digits than its factorization.

130021022011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177028 (or 177010 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130021022011320 its reverse (23110220120031), we get a palindrome (153131242131351).

The spelling of 130021022011320 in words is "one hundred thirty trillion, twenty-one billion, twenty-two million, eleven thousand, three hundred twenty".