Search a number
-
+
1121112100212 = 2231334920592023
BaseRepresentation
bin10000010100000111011…
…111010000110101110100
310222011210020012120200020
4100110013133100311310
5121332014144201322
62215010511045140
7143666126422056
oct20240737206564
93864706176606
101121112100212
113a250860a3a5
121613422107b0
13819499ac370
143c39535b8d6
151e26919305c
hex105077d0d74

1121112100212 has 48 divisors (see below), whose sum is σ = 2825225692800. Its totient is φ = 343969135488.

The previous prime is 1121112100201. The next prime is 1121112100223. The reversal of 1121112100212 is 2120012111211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1121112100201) and next prime (1121112100223).

It is a junction number, because it is equal to n+sod(n) for n = 1121112100191 and 1121112100200.

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, 10241568 + ... + 10350455.

It is an arithmetic number, because the mean of its divisors is an integer number (58858868600).

Almost surely, 21121112100212 is an apocalyptic number.

1121112100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121112100212 is an abundant number, since it is smaller than the sum of its proper divisors (1704113592588).

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

1121112100212 is a wasteful number, since it uses less digits than its factorization.

1121112100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20592392 (or 20592390 counting only the distinct ones).

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

Adding to 1121112100212 its reverse (2120012111211), we get a palindrome (3241124211423).

The spelling of 1121112100212 in words is "one trillion, one hundred twenty-one billion, one hundred twelve million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 349 698 1047 1396 2094 4188 4537 9074 13611 18148 27222 54444 20592023 41184046 61776069 82368092 123552138 247104276 267696299 535392598 803088897 1070785196 1606177794 3212355588 7186616027 14373232054 21559848081 28746464108 43119696162 86239392324 93426008351 186852016702 280278025053 373704033404 560556050106 1121112100212