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1100012200112 = 24747754727689
BaseRepresentation
bin10000000000011101110…
…101100010000010110000
310220011022202000121010202
4100000131311202002300
5121010311110400422
62201201051014332
7142321220266250
oct20003565420260
93804282017122
101100012200112
11394570234131
12159233a3a3a8
137c96648a387
143b352d61960
151d931ab0b92
hex1001dd620b0

1100012200112 has 80 divisors (see below), whose sum is σ = 2487985044480. Its totient is φ = 461325494784.

The previous prime is 1100012200033. The next prime is 1100012200127. The reversal of 1100012200112 is 2110022100011.

It is a junction number, because it is equal to n+sod(n) for n = 1100012200093 and 1100012200102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39713564 + ... + 39741252.

It is an arithmetic number, because the mean of its divisors is an integer number (31099813056).

Almost surely, 21100012200112 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 1100012200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243992522240).

1100012200112 is an abundant number, since it is smaller than the sum of its proper divisors (1387972844368).

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

1100012200112 is a wasteful number, since it uses less digits than its factorization.

1100012200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35298 (or 35292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1100012200112 its reverse (2110022100011), we get a palindrome (3210034300123).

The spelling of 1100012200112 in words is "one trillion, one hundred billion, twelve million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 658 752 1316 2632 5264 7547 15094 27689 30188 52829 55378 60376 105658 110756 120752 193823 211316 221512 354709 387646 422632 443024 709418 775292 845264 1301383 1418836 1550584 2482963 2602766 2837672 3101168 4965926 5205532 5675344 9109681 9931852 10411064 18219362 19863704 20822128 36438724 39727408 72877448 145754896 208968883 417937766 835875532 1462782181 1671751064 2925564362 3343502128 5851128724 9821537501 11702257448 19643075002 23404514896 39286150004 68750762507 78572300008 137501525014 157144600016 275003050028 550006100056 1100012200112