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2111117372 = 2272133972087
BaseRepresentation
bin111110111010101…
…0001100000111100
312110010102212121022
41331311101200330
513310421223442
6545252323312
7103213126100
oct17565214074
95403385538
102111117372
11993741801
124ab013538
132784b11a0
14160541900
15c55113d2
hex7dd5183c

2111117372 has 72 divisors (see below), whose sum is σ = 4642100064. Its totient is φ = 832664448.

The previous prime is 2111117369. The next prime is 2111117389. The reversal of 2111117372 is 2737111112.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1010513 + ... + 1012599.

It is an arithmetic number, because the mean of its divisors is an integer number (64473612).

Almost surely, 22111117372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111117372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321050032).

2111117372 is an abundant number, since it is smaller than the sum of its proper divisors (2530982692).

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

2111117372 is a wasteful number, since it uses less digits than its factorization.

2111117372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2506 counting only the distinct ones).

The product of its digits is 588, while the sum is 26.

The square root of 2111117372 is about 45946.8973054765. The cubic root of 2111117372 is about 1282.8349785842.

Adding to 2111117372 its reverse (2737111112), we get a palindrome (4848228484).

It can be divided in two parts, 21111 and 17372, that added together give a palindrome (38483).

The spelling of 2111117372 in words is "two billion, one hundred eleven million, one hundred seventeen thousand, three hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 397 637 794 1274 1588 2087 2548 2779 4174 5161 5558 8348 10322 11116 14609 19453 20644 27131 29218 36127 38906 54262 58436 72254 77812 102263 108524 144508 189917 204526 252889 379834 409052 505778 759668 828539 1011556 1329419 1657078 2658838 3314156 5317676 5799773 10771007 11599546 21542014 23199092 40598411 43084028 75397049 81196822 150794098 162393644 301588196 527779343 1055558686 2111117372