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111120200102112 = 2534079719339451
BaseRepresentation
bin11001010001000000110000…
…000011011111000011100000
3112120102222122210200001120220
4121101000300003133003200
5104031043132211231422
61032155525403403040
732256112101342225
oct3121006003370340
9476388583601526
10111120200102112
11324518a3072953
1210567a0a223480
134a00789045c76
141d623640db94c
15cca7587a8e5c
hex6510300df0e0

111120200102112 has 96 divisors (see below), whose sum is σ = 291809994094080. Its totient is φ = 37024899302400.

The previous prime is 111120200102089. The next prime is 111120200102113. The reversal of 111120200102112 is 211201002021111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 111120200102091 and 111120200102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111120200102113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2816643987 + ... + 2816683437.

It is an arithmetic number, because the mean of its divisors is an integer number (3039687438480).

Almost surely, 2111120200102112 is an apocalyptic number.

111120200102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111120200102112 is an abundant number, since it is smaller than the sum of its proper divisors (180689793991968).

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

111120200102112 is a wasteful number, since it uses less digits than its factorization.

111120200102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50736 (or 50728 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111120200102112 its reverse (211201002021111), we get a palindrome (322321202123223).

The spelling of 111120200102112 in words is "one hundred eleven trillion, one hundred twenty billion, two hundred million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4079 7193 8158 12237 14386 16316 21579 24474 28772 32632 39451 43158 48948 57544 65264 78902 86316 97896 115088 118353 130528 157804 172632 195792 230176 236706 315608 345264 391584 473412 631216 690528 946824 1262432 1893648 3787296 29340247 58680494 88020741 117360988 160920629 176041482 234721976 283771043 321841258 352082964 469443952 482761887 567542086 643682516 704165928 851313129 938887904 965523774 1135084172 1287365032 1408331856 1702626258 1931047548 2270168344 2574730064 2816663712 3405252516 3862095096 4540336688 5149460128 6810505032 7724190192 9080673376 13621010064 15448380384 27242020128 1157502084397 2315004168794 3472506253191 4630008337588 6945012506382 9260016675176 13890025012764 18520033350352 27780050025528 37040066700704 55560100051056 111120200102112