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2131110414 = 23219291511423
BaseRepresentation
bin111111100000110…
…0010101000001110
312111112001121220100
41333001202220032
513331031013124
6551245031530
7103545065616
oct17701425016
95445047810
102131110414
119a3a57884
124b58555a6
1327c6913a4
14163067a46
15c71601c9
hex7f062a0e

2131110414 has 96 divisors (see below), whose sum is σ = 5064883200. Its totient is φ = 645019200.

The previous prime is 2131110413. The next prime is 2131110551. The reversal of 2131110414 is 4140111312.

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 (2131110413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1496907 + ... + 1498329.

It is an arithmetic number, because the mean of its divisors is an integer number (52759200).

Almost surely, 22131110414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131110414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532441600).

2131110414 is an abundant number, since it is smaller than the sum of its proper divisors (2933772786).

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

2131110414 is a wasteful number, since it uses less digits than its factorization.

2131110414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1627 counting only the distinct ones).

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

The square root of 2131110414 is about 46163.9514556542. The cubic root of 2131110414 is about 1286.8718980377.

Adding to 2131110414 its reverse (4140111312), we get a palindrome (6271221726).

The spelling of 2131110414 in words is "two billion, one hundred thirty-one million, one hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 151 171 174 261 302 342 453 522 551 906 1102 1359 1423 1653 2718 2846 2869 3306 4269 4379 4959 5738 8538 8607 8758 9918 12807 13137 17214 25614 25821 26274 27037 39411 41267 51642 54074 78822 81111 82534 83201 123801 162222 166402 214873 243333 247602 249603 371403 429746 486666 499206 644619 742806 748809 784073 1289238 1497618 1568146 1933857 2352219 3867714 4082587 4704438 6231317 7056657 8165174 12247761 12462634 14113314 18693951 24495522 36743283 37387902 56081853 73486566 112163706 118395023 236790046 355185069 710370138 1065555207 2131110414