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130122023220 = 22325717311271543
BaseRepresentation
bin111100100101111100…
…0001000000100110100
3110102212102112200000100
41321023320020010310
54112442214220340
6135435514314100
712254354643120
oct1711370100464
9412772480010
10130122023220
1150203542a72
1221275728930
13c369259617
146425790580
1535b8918830
hex1e4be08134

130122023220 has 576 divisors, whose sum is σ = 497235787776. Its totient is φ = 26858926080.

The previous prime is 130122023201. The next prime is 130122023221. The reversal of 130122023220 is 22320221031.

130122023220 is a `hidden beast` number, since 130 + 12 + 202 + 322 + 0 = 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 = 130122023193 and 130122023202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130122023221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84329769 + ... + 84331311.

It is an arithmetic number, because the mean of its divisors is an integer number (863256576).

Almost surely, 2130122023220 is an apocalyptic number.

130122023220 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 130122023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248617893888).

130122023220 is an abundant number, since it is smaller than the sum of its proper divisors (367113764556).

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

130122023220 is a wasteful number, since it uses less digits than its factorization.

130122023220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130122023220 its reverse (22320221031), we get a palindrome (152442244251).

The spelling of 130122023220 in words is "one hundred thirty billion, one hundred twenty-two million, twenty-three thousand, two hundred twenty".