Search a number
-
+
1110211200020 = 2251321611975957
BaseRepresentation
bin10000001001111101101…
…111101000010000010100
310221010122112020110211002
4100021331233220100110
5121142203031400040
62210005103002432
7143132032331666
oct20117557502024
93833575213732
101110211200020
1139892430877a
1215b1bb599418
1380900471870
143ba3d6c6536
151dd2c17ba15
hex1027dbe8414

1110211200020 has 48 divisors (see below), whose sum is σ = 2511948463248. Its totient is φ = 409734236160.

The previous prime is 1110211199987. The next prime is 1110211200121. The reversal of 1110211200020 is 200021120111.

It can be written as a sum of positive squares in 8 ways, for example, as 29035478404 + 1081175721616 = 170398^2 + 1039796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1110211199974 and 1110211200010.

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, 426119 + ... + 1549838.

It is an arithmetic number, because the mean of its divisors is an integer number (52332259651).

Almost surely, 21110211200020 is an apocalyptic number.

1110211200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1110211200020 is an abundant number, since it is smaller than the sum of its proper divisors (1401737263228).

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

1110211200020 is a wasteful number, since it uses less digits than its factorization.

1110211200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978140 (or 1978138 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1110211200020 its reverse (200021120111), we get a palindrome (1310232320131).

The spelling of 1110211200020 in words is "one trillion, one hundred ten billion, two hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 2161 4322 8644 10805 21610 28093 43220 56186 112372 140465 280930 561860 1975957 3951914 7903828 9879785 19759570 25687441 39519140 51374882 102749764 128437205 256874410 513748820 4270043077 8540086154 17080172308 21350215385 42700430770 55510560001 85400861540 111021120002 222042240004 277552800005 555105600010 1110211200020