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1122222101022 = 23211171249266933
BaseRepresentation
bin10000010101001001101…
…001100101001000011110
310222021122120212110112100
4100111021221211020132
5121341302324213042
62215313002145530
7144035465320041
oct20251151451036
93867576773470
101122222101022
113a2a28135440
121615b1ab22a6
1381a95952089
143c45c940c58
151e2d185224c
hex10549a6521e

1122222101022 has 96 divisors (see below), whose sum is σ = 2810815020000. Its totient is φ = 319805890560.

The previous prime is 1122222100991. The next prime is 1122222101051. The reversal of 1122222101022 is 2201012222211.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1122222100986 and 1122222101004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4070668 + ... + 4337600.

It is an arithmetic number, because the mean of its divisors is an integer number (29279323125).

Almost surely, 21122222101022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122222101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405407510000).

1122222101022 is an abundant number, since it is smaller than the sum of its proper divisors (1688592918978).

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

1122222101022 is a wasteful number, since it uses less digits than its factorization.

1122222101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268218 (or 268215 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1122222101022 its reverse (2201012222211), we get a palindrome (3323234323233).

The spelling of 1122222101022 in words is "one trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1249 1683 2498 3366 3747 7494 11241 13739 21233 22482 27478 41217 42466 63699 82434 123651 127398 191097 233563 247302 266933 382194 467126 533866 700689 800799 1401378 1601598 2102067 2402397 2936263 4204134 4537861 4804794 5872526 8808789 9075722 13613583 17617578 26426367 27227166 40840749 49916471 52852734 81681498 99832942 149749413 299498826 333399317 449248239 666798634 898496478 1000197951 2000395902 3000593853 3667392487 5667788389 6001187706 7334784974 11002177461 11335576778 17003365167 22004354922 33006532383 34006730334 51010095501 62345672279 66013064766 102020191002 124691344558 187037016837 374074033674 561111050511 1122222101022