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2111011020 = 2232511727839
BaseRepresentation
bin111110111010011…
…0111100011001100
312110010020110201100
41331310313203030
513310404323040
6545250143100
7103212204036
oct17564674314
95403213640
102111011020
11993679908
124aab81a90
13278474961
14160514c56
15c54deb30
hex7dd378cc

2111011020 has 36 divisors (see below), whose sum is σ = 6403400640. Its totient is φ = 562936224.

The previous prime is 2111010971. The next prime is 2111011027. The reversal of 2111011020 is 201101112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21110110202 = 8912735053122880800, which contains 22 as substring.

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 = 2111010993 and 2111011011.

It is not an unprimeable number, because it can be changed into a prime (2111011027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5863740 + ... + 5864099.

It is an arithmetic number, because the mean of its divisors is an integer number (177872240).

Almost surely, 22111011020 is an apocalyptic number.

2111011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111011020 is an abundant number, since it is smaller than the sum of its proper divisors (4292389620).

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

2111011020 is a wasteful number, since it uses less digits than its factorization.

2111011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11727854 (or 11727849 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2111011020 is about 45945.7399548642. The cubic root of 2111011020 is about 1282.8134363813.

Adding to 2111011020 its reverse (201101112), we get a palindrome (2312112132).

The spelling of 2111011020 in words is "two billion, one hundred eleven million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11727839 23455678 35183517 46911356 58639195 70367034 105550551 117278390 140734068 175917585 211101102 234556780 351835170 422202204 527752755 703670340 1055505510 2111011020