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130122203220 = 22335240967043
BaseRepresentation
bin111100100101111100…
…0110100000001010100
3110102212102212210221000
41321023320310001110
54112442241000340
6135435522223300
712254356322652
oct1711370640124
9412772783830
10130122203220
1150203656229
12212757b4b30
13c3692c0529
1464257d9dd2
1535b8951d30
hex1e4be34054

130122203220 has 48 divisors (see below), whose sum is σ = 404824633920. Its totient is φ = 34699254048.

The previous prime is 130122203219. The next prime is 130122203221. The reversal of 130122203220 is 22302221031.

130122203220 is a `hidden beast` number, since 1 + 301 + 22 + 20 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130122203219) and next prime (130122203221).

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 = 130122203193 and 130122203202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130122203221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120482982 + ... + 120484061.

It is an arithmetic number, because the mean of its divisors is an integer number (8433846540).

Almost surely, 2130122203220 is an apocalyptic number.

130122203220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130122203220 is an abundant number, since it is smaller than the sum of its proper divisors (274702430700).

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

130122203220 is a wasteful number, since it uses less digits than its factorization.

130122203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240967061 (or 240967053 counting only the distinct ones).

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

Adding to 130122203220 its reverse (22302221031), we get a palindrome (152424424251).

The spelling of 130122203220 in words is "one hundred thirty billion, one hundred twenty-two million, two hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 240967043 481934086 722901129 963868172 1204835215 1445802258 2168703387 2409670430 2891604516 3614505645 4337406774 4819340860 6506110161 7229011290 8674813548 10843516935 13012220322 14458022580 21687033870 26024440644 32530550805 43374067740 65061101610 130122203220