Search a number
-
+
11211214104 = 2333716191181
BaseRepresentation
bin10100111000011110…
…11000110100011000
31001221022212200112000
422130033120310120
5140430032322404
65052251121000
7544552514256
oct123417306430
931838780460
1011211214104
114833490102
12220a743160
131098909ccc
14784d715d6
154593b1339
hex29c3d8d18

11211214104 has 128 divisors (see below), whose sum is σ = 31658688000. Its totient is φ = 3675369600.

The previous prime is 11211214061. The next prime is 11211214129. The reversal of 11211214104 is 40141211211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9492394 + ... + 9493574.

It is an arithmetic number, because the mean of its divisors is an integer number (247333500).

Almost surely, 211211214104 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 11211214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829344000).

11211214104 is an abundant number, since it is smaller than the sum of its proper divisors (20447473896).

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

11211214104 is a wasteful number, since it uses less digits than its factorization.

11211214104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11211214104 its reverse (40141211211), we get a palindrome (51352425315).

The spelling of 11211214104 in words is "eleven billion, two hundred eleven million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 619 639 852 1181 1238 1278 1704 1857 1917 2362 2476 2556 3543 3714 3834 4724 4952 5112 5571 7086 7428 7668 9448 10629 11142 14172 14856 15336 16713 21258 22284 28344 31887 33426 42516 43949 44568 63774 66852 83851 85032 87898 127548 131847 133704 167702 175796 251553 255096 263694 335404 351592 395541 503106 527388 670808 731039 754659 791082 1006212 1054776 1186623 1462078 1509318 1582164 2012424 2193117 2263977 2373246 2924156 3018636 3164328 4386234 4527954 4746492 5848312 6037272 6579351 8772468 9055908 9492984 13158702 17544936 18111816 19738053 26317404 39476106 51903769 52634808 78952212 103807538 155711307 157904424 207615076 311422614 415230152 467133921 622845228 934267842 1245690456 1401401763 1868535684 2802803526 3737071368 5605607052 11211214104