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10120301213022 = 232711133716790901
BaseRepresentation
bin1001001101000101000011…
…1101010111010101011110
31022211111021012012001220200
42103101100331113111132
52311302334102304042
633305111401324330
72063111332650630
oct223212075272536
938744235161820
1010120301213022
113251aa5220a20
1211754704966a6
13585456876840
1426db7a482a50
151283bb596c4c
hex93450f5755e

10120301213022 has 384 divisors, whose sum is σ = 30417967577088. Its totient is φ = 2346703488000.

The previous prime is 10120301212993. The next prime is 10120301213039. The reversal of 10120301213022 is 22031210302101.

10120301213022 is a `hidden beast` number, since 10 + 120 + 301 + 213 + 0 + 22 = 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 = 10120301212986 and 10120301213004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111287772 + ... + 111378672.

It is an arithmetic number, because the mean of its divisors is an integer number (79213457232).

Almost surely, 210120301213022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120301213022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15208983788544).

10120301213022 is an abundant number, since it is smaller than the sum of its proper divisors (20297666364066).

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

10120301213022 is a wasteful number, since it uses less digits than its factorization.

10120301213022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91144 (or 91141 counting only the distinct ones).

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

Adding to 10120301213022 its reverse (22031210302101), we get a palindrome (32151511515123).

The spelling of 10120301213022 in words is "ten trillion, one hundred twenty billion, three hundred one million, two hundred thirteen thousand, twenty-two".