Search a number
-
+
1112101152 = 253231992531
BaseRepresentation
bin100001001001001…
…0101000100100000
32212111121120222120
41002102111010200
54234144214102
6302204104240
736362463261
oct10222250440
92774546876
101112101152
11520830068
12270535080
13149529a26
14a79ac968
15679766bc
hex42495120

1112101152 has 96 divisors (see below), whose sum is σ = 3062707200. Its totient is φ = 352661760.

The previous prime is 1112101127. The next prime is 1112101171. The reversal of 1112101152 is 2511012111.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438127 + ... + 440657.

It is an arithmetic number, because the mean of its divisors is an integer number (31903200).

Almost surely, 21112101152 is an apocalyptic number.

1112101152 is a gapful number since it is divisible by the number (12) 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 1112101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531353600).

1112101152 is an abundant number, since it is smaller than the sum of its proper divisors (1950606048).

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

1112101152 is a wasteful number, since it uses less digits than its factorization.

1112101152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

The square root of 1112101152 is about 33348.1806400289. The cubic root of 1112101152 is about 1036.0517060502.

Adding to 1112101152 its reverse (2511012111), we get a palindrome (3623113263).

The spelling of 1112101152 in words is "one billion, one hundred twelve million, one hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 199 276 368 398 552 597 736 796 1104 1194 1592 2208 2388 2531 3184 4577 4776 5062 6368 7593 9154 9552 10124 13731 15186 18308 19104 20248 27462 30372 36616 40496 54924 58213 60744 73232 80992 109848 116426 121488 146464 174639 219696 232852 242976 349278 439392 465704 503669 698556 931408 1007338 1397112 1511007 1862816 2014676 2794224 3022014 4029352 5588448 6044028 8058704 11584387 12088056 16117408 23168774 24176112 34753161 46337548 48352224 69506322 92675096 139012644 185350192 278025288 370700384 556050576 1112101152