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22131010110000 = 2435411210955933
BaseRepresentation
bin1010000100000110001101…
…11111110000001000110000
32220100201000010221111200010
411002003012333300020300
510400043302042010000
6115022502400254520
74442625030053301
oct502030677601060
986321003844603
1022131010110000
117062788286600
12259517a611440
13c46c39a8974c
1456720a3d67a8
15285a29703d50
hex1420c6ff0230

22131010110000 has 600 divisors, whose sum is σ = 79248841690480. Its totient is φ = 5315777280000.

The previous prime is 22131010109993. The next prime is 22131010110017. The reversal of 22131010110000 is 1101013122.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 395642034 + ... + 395697966.

Almost surely, 222131010110000 is an apocalyptic number.

22131010110000 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 22131010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39624420845240).

22131010110000 is an abundant number, since it is smaller than the sum of its proper divisors (57117831580480).

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

22131010110000 is a wasteful number, since it uses less digits than its factorization.

22131010110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56095 (or 56063 counting only the distinct ones).

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

Adding to 22131010110000 its reverse (1101013122), we get a palindrome (22132111123122).

The spelling of 22131010110000 in words is "twenty-two trillion, one hundred thirty-one billion, ten million, one hundred ten thousand".