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2111120010 = 234517153313
BaseRepresentation
bin111110111010101…
…0010001010001010
312110010110000020000
41331311102022022
513310421320020
6545252343430
7103213136556
oct17565221212
95403400200
102111120010
1199374378a
124ab014b76
132784b244c
14160542866
15c5512090
hex7dd5228a

2111120010 has 80 divisors (see below), whose sum is σ = 6010522056. Its totient is φ = 529846272.

The previous prime is 2111120003. The next prime is 2111120029. The reversal of 2111120010 is 100211112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1420008489 + 691111521 = 37683^2 + 26289^2 .

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 = 2111119974 and 2111120001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62887 + ... + 90426.

Almost surely, 22111120010 is an apocalyptic number.

2111120010 is an abundant number, since it is smaller than the sum of its proper divisors (3899402046).

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

2111120010 is a wasteful number, since it uses less digits than its factorization.

2111120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153349 (or 153340 counting only the distinct ones).

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

The square root of 2111120010 is about 45946.9260125201. The cubic root of 2111120010 is about 1282.8355129170.

Adding to 2111120010 its reverse (100211112), we get a palindrome (2211331122).

The spelling of 2111120010 in words is "two billion, one hundred eleven million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 13770 153313 306626 459939 766565 919878 1379817 1533130 2299695 2606321 2759634 4139451 4599390 5212642 6899085 7818963 8278902 12418353 13031605 13798170 15637926 20697255 23456889 24836706 26063210 39094815 41394510 46913778 62091765 70370667 78189630 117284445 124183530 140741334 211112001 234568890 351853335 422224002 703706670 1055560005 2111120010