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1101332220120 = 2332511541751341
BaseRepresentation
bin10000000001101100100…
…001000000100011011000
310220021201201212120011200
4100001230201000203120
5121021012022020440
62201540043354200
7142366016261136
oct20015441004330
93807651776150
101101332220120
11395088365760
12159541b22960
137cb16ab48c2
143b43a3b4756
151d9ac907c30
hex1006c8408d8

1101332220120 has 192 divisors, whose sum is σ = 3905520222240. Its totient is φ = 266935142400.

The previous prime is 1101332220113. The next prime is 1101332220137. The reversal of 1101332220120 is 210222331011.

1101332220120 is a `hidden beast` number, since 1 + 101 + 332 + 220 + 12 + 0 = 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 = 1101332220093 and 1101332220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21425650 + ... + 21476990.

Almost surely, 21101332220120 is an apocalyptic number.

1101332220120 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 1101332220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952760111120).

1101332220120 is an abundant number, since it is smaller than the sum of its proper divisors (2804188002120).

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

1101332220120 is a wasteful number, since it uses less digits than its factorization.

1101332220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56786 (or 56779 counting only the distinct ones).

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

Adding to 1101332220120 its reverse (210222331011), we get a palindrome (1311554551131).

The spelling of 1101332220120 in words is "one trillion, one hundred one billion, three hundred thirty-two million, two hundred twenty thousand, one hundred twenty".