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111100202224 = 241129167130343
BaseRepresentation
bin110011101111000010…
…1101000110011110000
3101121202202122001002121
41213132011220303300
53310013122432344
6123012210524024
711012111065054
oct1473605506360
9347682561077
10111100202224
1143132193350
1219647296614
13a62741b93b
14553d375c64
152d539bd684
hex19de168cf0

111100202224 has 80 divisors (see below), whose sum is σ = 244379358720. Its totient is φ = 48466369280.

The previous prime is 111100202207. The next prime is 111100202249. The reversal of 111100202224 is 422202001111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 111100202198 and 111100202207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787197 + ... + 917539.

It is an arithmetic number, because the mean of its divisors is an integer number (3054741984).

Almost surely, 2111100202224 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 111100202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122189679360).

111100202224 is an abundant number, since it is smaller than the sum of its proper divisors (133279156496).

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

111100202224 is a wasteful number, since it uses less digits than its factorization.

111100202224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130558 (or 130552 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 111100202224 its reverse (422202001111), we get a palindrome (533302203335).

The spelling of 111100202224 in words is "one hundred eleven billion, one hundred million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 167 176 232 319 334 464 638 668 1276 1336 1837 2552 2672 3674 4843 5104 7348 9686 14696 19372 29392 38744 53273 77488 106546 130343 213092 260686 426184 521372 852368 1042744 1433773 2085488 2867546 3779947 5735092 7559894 11470184 15119788 21767281 22940368 30239576 41579417 43534562 60479152 83158834 87069124 166317668 174138248 239440091 332635336 348276496 478880182 631251149 665270672 957760364 1262502298 1915520728 2525004596 3831041456 5050009192 6943762639 10100018384 13887525278 27775050556 55550101112 111100202224