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2111012020 = 2251331126107
BaseRepresentation
bin111110111010011…
…0111110010110100
312110010020112002101
41331310313302310
513310404341040
6545250151444
7103212206665
oct17564676264
95403215071
102111012020
1199367a637
124aab82584
13278475250
1416051536c
15c54e009a
hex7dd37cb4

2111012020 has 48 divisors (see below), whose sum is σ = 4789669248. Its totient is φ = 776914560.

The previous prime is 2111011979. The next prime is 2111012063. The reversal of 2111012020 is 202101112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2111011988 and 2111012006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67807 + ... + 93913.

It is an arithmetic number, because the mean of its divisors is an integer number (99784776).

Almost surely, 22111012020 is an apocalyptic number.

2111012020 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 2111012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394834624).

2111012020 is an abundant number, since it is smaller than the sum of its proper divisors (2678657228).

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

2111012020 is a wasteful number, since it uses less digits than its factorization.

2111012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26440 (or 26438 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2111012020 is about 45945.7508372646. The cubic root of 2111012020 is about 1282.8136389403.

Adding to 2111012020 its reverse (202101112), we get a palindrome (2313113132).

The spelling of 2111012020 in words is "two billion, one hundred eleven million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 311 622 1244 1555 3110 4043 6220 8086 16172 20215 26107 40430 52214 80860 104428 130535 261070 339391 522140 678782 1357564 1696955 3393910 6787820 8119277 16238554 32477108 40596385 81192770 105550601 162385540 211101202 422202404 527753005 1055506010 2111012020