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130022211000 = 233531125715331
BaseRepresentation
bin111100100010111101…
…1010111110110111000
3110102121110201200101110
41321011323113312320
54112241141223000
6135421551120320
712252033362313
oct1710573276670
9412543650343
10130022211000
115016216a630
12212482130a0
13c351680436
14641640b97a
1535aec9e850
hex1e45ed7db8

130022211000 has 256 divisors, whose sum is σ = 444299281920. Its totient is φ = 31395840000.

The previous prime is 130022210957. The next prime is 130022211031. The reversal of 130022211000 is 112220031.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 8473335 + ... + 8488665.

It is an arithmetic number, because the mean of its divisors is an integer number (1735544070).

Almost surely, 2130022211000 is an apocalyptic number.

130022211000 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 130022211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222149640960).

130022211000 is an abundant number, since it is smaller than the sum of its proper divisors (314277070920).

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

130022211000 is a wasteful number, since it uses less digits than its factorization.

130022211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15623 (or 15609 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130022211000 its reverse (112220031), we get a palindrome (130134431031).

The spelling of 130022211000 in words is "one hundred thirty billion, twenty-two million, two hundred eleven thousand".