Search a number
-
+
124000202142 = 23219335693783
BaseRepresentation
bin111001101111011111…
…1001110110110011110
3102212001210020221020100
41303132333032312132
54012423022432032
6132544230401530
711646561220215
oct1633677166636
9385053227210
10124000202142
1148651977203
12200475002a6
13b901b79a9b
14600471007c
15335b26a97c
hex1cdefced9e

124000202142 has 24 divisors (see below), whose sum is σ = 270059169744. Its totient is φ = 41119236864.

The previous prime is 124000202141. The next prime is 124000202143. The reversal of 124000202142 is 241202000421.

It is an interprime number because it is at equal distance from previous prime (124000202141) and next prime (124000202143).

It is a super-3 number, since 3×1240002021423 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124000202141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17843418 + ... + 17850365.

It is an arithmetic number, because the mean of its divisors is an integer number (11252465406).

Almost surely, 2124000202142 is an apocalyptic number.

124000202142 is an abundant number, since it is smaller than the sum of its proper divisors (146058967602).

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

124000202142 is a wasteful number, since it uses less digits than its factorization.

124000202142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35693984 (or 35693981 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 124000202142 its reverse (241202000421), we get a palindrome (365202202563).

The spelling of 124000202142 in words is "one hundred twenty-four billion, two hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 3474 35693783 71387566 107081349 214162698 321244047 642488094 6888900119 13777800238 20666700357 41333400714 62000101071 124000202142