Search a number
-
+
2031102113100 = 2235229233460013
BaseRepresentation
bin11101100011100111000…
…111101011010101001100
321012011121222221220021220
4131203213013223111030
5231234144120104400
64153024143123340
7266512414050444
oct35434707532514
97164558856256
102031102113100
11713427212795
12289783ba3550
131196bc069ba8
147043d427124
1537c787587a0
hex1d8e71eb54c

2031102113100 has 72 divisors (see below), whose sum is σ = 6079298764560. Its totient is φ = 522950426880.

The previous prime is 2031102113099. The next prime is 2031102113101. The reversal of 2031102113100 is 13112011302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2031102113099) and next prime (2031102113101).

It is a super-2 number, since 2×20311021131002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2031102113100.

It is not an unprimeable number, because it can be changed into a prime (2031102113101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116721307 + ... + 116738706.

Almost surely, 22031102113100 is an apocalyptic number.

2031102113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031102113100 is an abundant number, since it is smaller than the sum of its proper divisors (4048196651460).

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

2031102113100 is a wasteful number, since it uses less digits than its factorization.

2031102113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233460059 (or 233460052 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2031102113100 its reverse (13112011302), we get a palindrome (2044214124402).

The spelling of 2031102113100 in words is "two trillion, thirty-one billion, one hundred two million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 233460013 466920026 700380039 933840052 1167300065 1400760078 2334600130 2801520156 3501900195 4669200260 5836500325 6770340377 7003800390 11673000650 13540680754 14007600780 17509500975 20311021131 23346001300 27081361508 33851701885 35019001950 40622042262 67703403770 70038003900 81244084524 101555105655 135406807540 169258509425 203110211310 338517018850 406220422620 507775528275 677034037700 1015551056550 2031102113100