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12101243022 = 235114634889
BaseRepresentation
bin10110100010100101…
…00101000010001110
31011020100121211200000
423101102211002032
5144240404234042
65320443345130
7605610603621
oct132122450216
934210554600
1012101243022
11514a921aa0
1224188221a6
1311ab12203b
1482b253db8
154ac5bd74c
hex2d14a508e

12101243022 has 96 divisors (see below), whose sum is σ = 29732451840. Its totient is φ = 3658374720.

The previous prime is 12101242981. The next prime is 12101243027. The reversal of 12101243022 is 22034210121.

It is a happy number.

12101243022 is a `hidden beast` number, since 1 + 210 + 1 + 2 + 430 + 22 = 666.

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 = 12101242986 and 12101243004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101243027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2472754 + ... + 2477642.

It is an arithmetic number, because the mean of its divisors is an integer number (309713040).

Almost surely, 212101243022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101243022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14866225920).

12101243022 is an abundant number, since it is smaller than the sum of its proper divisors (17631208818).

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

12101243022 is a wasteful number, since it uses less digits than its factorization.

12101243022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380 (or 5368 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12101243022 its reverse (22034210121), we get a palindrome (34135453143).

The spelling of 12101243022 in words is "twelve billion, one hundred one million, two hundred forty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 463 486 594 891 926 1389 1782 2673 2778 4167 4889 5093 5346 8334 9778 10186 12501 14667 15279 25002 29334 30558 37503 44001 45837 53779 75006 88002 91674 107558 112509 132003 137511 161337 225018 264006 275022 322674 396009 412533 484011 792018 825066 968022 1188027 1237599 1452033 2263607 2376054 2475198 2904066 4356099 4527214 6790821 8712198 13068297 13581642 20372463 24899677 26136594 40744926 49799354 61117389 74699031 122234778 149398062 183352167 224097093 366704334 448194186 550056501 672291279 1100113002 1344582558 2016873837 4033747674 6050621511 12101243022