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111002020020 = 2232519213072
BaseRepresentation
bin110011101100000111…
…1000110100010110100
3101121111220212212102200
41213120033012202310
53304313004120040
6122554342304500
711006506413423
oct1473017064264
9347456785380
10111002020020
1143091823631
121961a428130
13a60cc93668
1455302d92ba
152d4a077630
hex19d83c68b4

111002020020 has 162 divisors, whose sum is σ = 355632304482. Its totient is φ = 28021159872.

The previous prime is 111002020007. The next prime is 111002020021. The reversal of 111002020020 is 20020200111.

It can be written as a sum of positive squares in only one way, i.e., 88801616016 + 22200404004 = 297996^2 + 148998^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111002019984 and 111002020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111002020021) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 84928207 + ... + 84929513.

Almost surely, 2111002020020 is an apocalyptic number.

111002020020 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 111002020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177816152241).

111002020020 is an abundant number, since it is smaller than the sum of its proper divisors (244630284462).

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

111002020020 is a wasteful number, since it uses less digits than its factorization.

111002020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 111002020020 its reverse (20020200111), we get a palindrome (131022220131).

It can be divided in two parts, 11100 and 2020020, that added together give a triangular number (2031120 = T2015).

The spelling of 111002020020 in words is "one hundred eleven billion, two million, twenty thousand, twenty".