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101330120220120 = 233451123091231337
BaseRepresentation
bin10111000010100011000001…
…110100100001110111011000
3111021210001202022011200220000
4113002203001310201313120
5101240143041234020440
6555302225315133000
730225600561361521
oct2702430164416730
9437701668150800
10101330120220120
112a317954214570
12b4465582a4160
13447050a4a862c
141b0459277b848
15baac67b69730
hex5c28c1d21dd8

101330120220120 has 320 divisors, whose sum is σ = 371704987130400. Its totient is φ = 24554218936320.

The previous prime is 101330120220113. The next prime is 101330120220127. The reversal of 101330120220120 is 21022021033101.

101330120220120 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 301 + 20 + 220 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (101330120220113) and next prime (101330120220127).

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 = 101330120220093 and 101330120220102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101330120220127) 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, 81677092 + ... + 82908428.

Almost surely, 2101330120220120 is an apocalyptic number.

101330120220120 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 101330120220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185852493565200).

101330120220120 is an abundant number, since it is smaller than the sum of its proper divisors (270374866910280).

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

101330120220120 is a wasteful number, since it uses less digits than its factorization.

101330120220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233680 (or 1233667 counting only the distinct ones).

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

Adding to 101330120220120 its reverse (21022021033101), we get a palindrome (122352141253221).

The spelling of 101330120220120 in words is "one hundred one trillion, three hundred thirty billion, one hundred twenty million, two hundred twenty thousand, one hundred twenty".