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1100102011112 = 231319229301673
BaseRepresentation
bin10000000000100011001…
…100001000100011101000
310220011120000000110200002
4100000203030020203220
5121011002103323422
62201214020002132
7142323360544016
oct20004314104350
93804500013602
101100102011112
113946069a64a5
12159259b30348
137c97bc74290
143b360c5d8b6
151d939901692
hex100233088e8

1100102011112 has 48 divisors (see below), whose sum is σ = 2344426936740. Its totient is φ = 481016247552.

The previous prime is 1100102011081. The next prime is 1100102011117. The reversal of 1100102011112 is 2111102010011.

It can be written as a sum of positive squares in 2 ways, for example, as 1098148901476 + 1953109636 = 1047926^2 + 44194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1100102011093 and 1100102011102.

It is not an unprimeable number, because it can be changed into a prime (1100102011117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14613293 + ... + 14688380.

Almost surely, 21100102011112 is an apocalyptic number.

It is an amenable number.

1100102011112 is an abundant number, since it is smaller than the sum of its proper divisors (1244324925628).

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

1100102011112 is a wasteful number, since it uses less digits than its factorization.

1100102011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29301730 (or 29301707 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1100102011112 its reverse (2111102010011), we get a palindrome (3211204021123).

The spelling of 1100102011112 in words is "one trillion, one hundred billion, one hundred two million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 988 1444 1976 2888 4693 9386 18772 37544 29301673 58603346 117206692 234413384 380921749 556731787 761843498 1113463574 1523686996 2226927148 3047373992 4453854296 7237513231 10577903953 14475026462 21155807906 28950052924 42311615812 57900105848 84623231624 137512751389 275025502778 550051005556 1100102011112