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2102411142 = 2321319487971
BaseRepresentation
bin111110101010000…
…0011111110000110
312102112001112220100
41331110003332012
513301204124032
6544341544530
7103046125356
oct17524037606
95375045810
102102411142
11989835677
124a8115146
13276753480
1415d316b66
15c489197c
hex7d503f86

2102411142 has 96 divisors (see below), whose sum is σ = 5179749120. Its totient is φ = 610960320.

The previous prime is 2102411141. The next prime is 2102411147. The reversal of 2102411142 is 2411142012.

2102411142 is a `hidden beast` number, since 210 + 2 + 411 + 1 + 42 = 666.

It is a super-2 number, since 2×21024111422 = 8840265220011488328, which contains 22 as substring.

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 (2102411141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2164717 + ... + 2165687.

It is an arithmetic number, because the mean of its divisors is an integer number (53955720).

Almost surely, 22102411142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102411142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589874560).

2102411142 is an abundant number, since it is smaller than the sum of its proper divisors (3077337978).

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

2102411142 is a wasteful number, since it uses less digits than its factorization.

2102411142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2102411142 is about 45852.0571185198. The cubic root of 2102411142 is about 1281.0690820114.

Adding to 2102411142 its reverse (2411142012), we get a palindrome (4513553154).

The spelling of 2102411142 in words is "two billion, one hundred two million, four hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 487 494 741 971 974 1461 1482 1942 2223 2913 2922 4383 4446 5826 6331 8739 8766 9253 12623 12662 17478 18449 18506 18993 25246 27759 36898 37869 37986 55347 55518 56979 75738 83277 110694 113607 113958 120289 166041 166554 227214 239837 240578 332082 360867 472877 479674 719511 721734 945754 1082601 1418631 1439022 2158533 2165202 2837262 4255893 4317066 6147401 8511786 8984663 12294802 17969326 18442203 26953989 36884406 53907978 55326609 80861967 110653218 116800619 161723934 233601238 350401857 700803714 1051205571 2102411142