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22101111136 = 2513375924337
BaseRepresentation
bin10100100101010101…
…000011000101100000
32010001021010202212201
4110211111003011200
5330230341024021
614053023302544
71411454226226
oct244525030540
963037122781
1022101111136
119411556a05
12434974aa54
132112a94470
1410d9380b16
15895452591
hex525543160

22101111136 has 96 divisors (see below), whose sum is σ = 48942744480. Its totient is φ = 9756205056.

The previous prime is 22101111127. The next prime is 22101111167. The reversal of 22101111136 is 63111110122.

It is a super-2 number, since 2×221011111362 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895960 + ... + 920296.

It is an arithmetic number, because the mean of its divisors is an integer number (509820255).

Almost surely, 222101111136 is an apocalyptic number.

22101111136 is a gapful number since it is divisible by the number (26) 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 22101111136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24471372240).

22101111136 is an abundant number, since it is smaller than the sum of its proper divisors (26841633344).

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

22101111136 is a wasteful number, since it uses less digits than its factorization.

22101111136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24456 (or 24448 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 22101111136 its reverse (63111110122), we get a palindrome (85212221258).

The spelling of 22101111136 in words is "twenty-two billion, one hundred one million, one hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 59 74 104 118 148 208 236 296 416 472 481 592 767 944 962 1184 1534 1888 1924 2183 3068 3848 4366 6136 7696 8732 12272 15392 17464 24337 24544 28379 34928 48674 56758 69856 97348 113516 194696 227032 316381 389392 454064 632762 778784 900469 908128 1265524 1435883 1800938 2531048 2871766 3601876 5062096 5743532 7203752 10124192 11487064 11706097 14407504 18666479 22974128 23412194 28815008 37332958 45948256 46824388 53127671 74665916 93648776 106255342 149331832 187297552 212510684 298663664 374595104 425021368 597327328 690659723 850042736 1381319446 1700085472 2762638892 5525277784 11050555568 22101111136