Search a number
-
+
21110011188 = 22371722765123
BaseRepresentation
bin10011101010010000…
…010011010100110100
32000111012012200100020
4103222100103110310
5321213130324223
613410420445140
71345061064060
oct235220232464
960435180306
1021110011188
118a53061942
1241118497b0
131cb56522a6
1410438acaa0
1583842d1e3
hex4ea413534

21110011188 has 96 divisors (see below), whose sum is σ = 59868232704. Its totient is φ = 5651547648.

The previous prime is 21110011187. The next prime is 21110011189. The reversal of 21110011188 is 88111001112.

It is an interprime number because it is at equal distance from previous prime (21110011187) and next prime (21110011189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21110011187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291595 + ... + 356717.

It is an arithmetic number, because the mean of its divisors is an integer number (623627424).

Almost surely, 221110011188 is an apocalyptic number.

21110011188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110011188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29934116352).

21110011188 is an abundant number, since it is smaller than the sum of its proper divisors (38758221516).

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

21110011188 is a wasteful number, since it uses less digits than its factorization.

21110011188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65381 (or 65379 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 24.

The spelling of 21110011188 in words is "twenty-one billion, one hundred ten million, eleven thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 227 238 357 454 476 681 714 908 1362 1428 1589 2724 3178 3859 4767 6356 7718 9534 11577 15436 19068 23154 27013 46308 54026 65123 81039 108052 130246 162078 195369 260492 324156 390738 455861 781476 911722 1107091 1367583 1823444 2214182 2735166 3321273 4428364 5470332 6642546 7749637 13285092 14782921 15499274 23248911 29565842 30998548 44348763 46497822 59131684 88697526 92995644 103480447 177395052 206960894 251309657 310441341 413921788 502619314 620882682 753928971 1005238628 1241765364 1507857942 1759167599 3015715884 3518335198 5277502797 7036670396 10555005594 21110011188