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22300121347920 = 243251318116078191
BaseRepresentation
bin1010001001000001001101…
…10011111011011101010000
32220221212111210120111102100
411010200212303323131100
510410331122031113140
6115232311225120400
74461062536626333
oct504404663733520
986855453514370
1022300121347920
117118479157659
122601ab5629100
13c59b7a8532c0
1457148ddda61a
1528a125ee2530
hex144826cfb750

22300121347920 has 480 divisors, whose sum is σ = 81158069551104. Its totient is φ = 5454870220800.

The previous prime is 22300121347913. The next prime is 22300121347963. The reversal of 22300121347920 is 2974312100322.

22300121347920 is a `hidden beast` number, since 2 + 2 + 300 + 1 + 2 + 1 + 347 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2722511025 + ... + 2722519215.

Almost surely, 222300121347920 is an apocalyptic number.

22300121347920 is a gapful number since it is divisible by the number (20) 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 22300121347920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40579034775552).

22300121347920 is an abundant number, since it is smaller than the sum of its proper divisors (58857948203184).

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

22300121347920 is a wasteful number, since it uses less digits than its factorization.

22300121347920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011 (or 10002 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 22300121347920 in words is "twenty-two trillion, three hundred billion, one hundred twenty-one million, three hundred forty-seven thousand, nine hundred twenty".