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101102011033320 = 23345115415243543
BaseRepresentation
bin10110111111001110100101…
…011101000010011011101000
3111020222020221222111101010000
4112333032211131002123220
5101222423404311031240
6555005342255423000
730203244040313553
oct2677164535023350
9436866858441100
10101102011033320
112a23a138560280
12b40a2b6b24a60
134454b5675c55b
141ad751340769a
15ba4d66ab2430
hex5bf3a57426e8

101102011033320 has 320 divisors, whose sum is σ = 371392670816640. Its totient is φ = 24464269555200.

The previous prime is 101102011033253. The next prime is 101102011033321. The reversal of 101102011033320 is 23330110201101.

101102011033320 is a `hidden beast` number, since 1 + 0 + 110 + 201 + 1 + 0 + 33 + 320 = 666.

101102011033320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 101102011033293 and 101102011033302.

It is not an unprimeable number, because it can be changed into a prime (101102011033321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16659469 + ... + 21903011.

It is an arithmetic number, because the mean of its divisors is an integer number (1160602096302).

Almost surely, 2101102011033320 is an apocalyptic number.

101102011033320 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 101102011033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185696335408320).

101102011033320 is an abundant number, since it is smaller than the sum of its proper divisors (270290659783320).

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

101102011033320 is a wasteful number, since it uses less digits than its factorization.

101102011033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244118 (or 5244105 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101102011033320 its reverse (23330110201101), we get a palindrome (124432121234421).

The spelling of 101102011033320 in words is "one hundred one trillion, one hundred two billion, eleven million, thirty-three thousand, three hundred twenty".