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12342022100 = 22521741917327
BaseRepresentation
bin10110111111010010…
…00100111111010100
31011212010200200110122
423133221010333110
5200234024201400
65400404211112
7614563312502
oct133751047724
934763620418
1012342022100
115263827971
122485399a98
131218c86675
1485120d672
154c37d0685
hex2dfa44fd4

12342022100 has 72 divisors (see below), whose sum is σ = 28426930560. Its totient is φ = 4635051520.

The previous prime is 12342022039. The next prime is 12342022103. The reversal of 12342022100 is 122024321.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12342022103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703637 + ... + 720963.

It is an arithmetic number, because the mean of its divisors is an integer number (394818480).

Almost surely, 212342022100 is an apocalyptic number.

12342022100 is a gapful number since it is divisible by the number (10) 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 12342022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14213465280).

12342022100 is an abundant number, since it is smaller than the sum of its proper divisors (16084908460).

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

12342022100 is a wasteful number, since it uses less digits than its factorization.

12342022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17777 (or 17770 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12342022100 its reverse (122024321), we get a palindrome (12464046421).

The spelling of 12342022100 in words is "twelve billion, three hundred forty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 419 425 838 850 1676 1700 2095 4190 7123 8380 10475 14246 17327 20950 28492 34654 35615 41900 69308 71230 86635 142460 173270 178075 294559 346540 356150 433175 589118 712300 866350 1178236 1472795 1732700 2945590 5891180 7260013 7363975 14520026 14727950 29040052 29455900 36300065 72600130 123420221 145200260 181500325 246840442 363000650 493680884 617101105 726001300 1234202210 2468404420 3085505525 6171011050 12342022100