Search a number
-
+
11431014120 = 2332545769481
BaseRepresentation
bin10101010010101011…
…10110111011101000
31002111122110200110100
422221111312323220
5141402314422440
65130142145400
7553162005531
oct125125667350
932448420410
1011431014120
114936567109
122270282260
1311023076a6
147a6229688
1546d82c230
hex2a9576ee8

11431014120 has 96 divisors (see below), whose sum is σ = 37232624520. Its totient is φ = 3041556480.

The previous prime is 11431014109. The next prime is 11431014157. The reversal of 11431014120 is 2141013411.

It can be written as a sum of positive squares in 4 ways, for example, as 10478797956 + 952216164 = 102366^2 + 30858^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11431014093 and 11431014102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 129780 + ... + 199260.

Almost surely, 211431014120 is an apocalyptic number.

11431014120 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 11431014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18616312260).

11431014120 is an abundant number, since it is smaller than the sum of its proper divisors (25801610400).

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

11431014120 is a wasteful number, since it uses less digits than its factorization.

11431014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69955 (or 69948 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11431014120 its reverse (2141013411), we get a palindrome (13572027531).

The spelling of 11431014120 in words is "eleven billion, four hundred thirty-one million, fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 457 914 1371 1828 2285 2742 3656 4113 4570 5484 6855 8226 9140 10968 13710 16452 18280 20565 27420 32904 41130 54840 69481 82260 138962 164520 208443 277924 347405 416886 555848 625329 694810 833772 1042215 1250658 1389620 1667544 2084430 2501316 2779240 3126645 4168860 5002632 6253290 8337720 12506580 25013160 31752817 63505634 95258451 127011268 158764085 190516902 254022536 285775353 317528170 381033804 476292255 571550706 635056340 762067608 952584510 1143101412 1270112680 1428876765 1905169020 2286202824 2857753530 3810338040 5715507060 11431014120