Search a number
-
+
21111201104 = 247416175367
BaseRepresentation
bin10011101010010100…
…110101110101010000
32000111021110010121012
4103222110311311100
5321213431413404
613410502150052
71345104151160
oct235224656520
960437403535
1021111201104
118a537a4944
124112122328
131cb597aa96
141043adc5a0
158385b5a6e
hex4ea535d50

21111201104 has 80 divisors (see below), whose sum is σ = 48672051456. Its totient is φ = 8682163200.

The previous prime is 21111201101. The next prime is 21111201149. The reversal of 21111201104 is 40110211112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111201101) 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 15 ways as a sum of consecutive naturals, for example, 242429 + ... + 317795.

Almost surely, 221111201104 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 21111201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24336025728).

21111201104 is an abundant number, since it is smaller than the sum of its proper divisors (27560850352).

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

21111201104 is a wasteful number, since it uses less digits than its factorization.

21111201104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75484 (or 75478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21111201104 its reverse (40110211112), we get a palindrome (61221412216).

The spelling of 21111201104 in words is "twenty-one billion, one hundred eleven million, two hundred one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 41 56 61 82 112 122 164 244 287 328 427 488 574 656 854 976 1148 1708 2296 2501 3416 4592 5002 6832 10004 17507 20008 35014 40016 70028 75367 140056 150734 280112 301468 527569 602936 1055138 1205872 2110276 3090047 4220552 4597387 6180094 8441104 9194774 12360188 18389548 21630329 24720376 32181709 36779096 43260658 49440752 64363418 73558192 86521316 128726836 173042632 188492867 257453672 346085264 376985734 514907344 753971468 1319450069 1507942936 2638900138 3015885872 5277800276 10555600552 21111201104