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1102033212 = 223719823839
BaseRepresentation
bin100000110101111…
…1011000100111100
32211210200002100220
41001223323010330
54224110030322
6301204221340
736211061550
oct10153730474
92753602326
101102033212
11516083955
1226909a850
13147413277
14a650b860
1566b3855c
hex41afb13c

1102033212 has 96 divisors (see below), whose sum is σ = 3100876800. Its totient is φ = 297577152.

The previous prime is 1102033181. The next prime is 1102033217. The reversal of 1102033212 is 2123302011.

It is a junction number, because it is equal to n+sod(n) for n = 1102033191 and 1102033200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102033217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1313089 + ... + 1313927.

It is an arithmetic number, because the mean of its divisors is an integer number (32300800).

Almost surely, 21102033212 is an apocalyptic number.

1102033212 is a gapful number since it is divisible by the number (12) 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 1102033212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550438400).

1102033212 is an abundant number, since it is smaller than the sum of its proper divisors (1998843588).

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

1102033212 is a wasteful number, since it uses less digits than its factorization.

1102033212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1102033212 is about 33196.8855768128. The cubic root of 1102033212 is about 1032.9157374243.

Adding to 1102033212 its reverse (2123302011), we get a palindrome (3225335223).

The spelling of 1102033212 in words is "one billion, one hundred two million, thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 823 839 1596 1646 1678 2469 2517 3292 3356 4938 5034 5761 5873 9876 10068 11522 11746 15637 15941 17283 17619 23044 23492 31274 31882 34566 35238 46911 47823 62548 63764 69132 70476 93822 95646 109459 111587 187644 191292 218918 223174 328377 334761 437836 446348 656754 669522 690497 1313508 1339044 1380994 2071491 2761988 4142982 4833479 8285964 9666958 13119443 14500437 19333916 26238886 29000874 39358329 52477772 58001748 78716658 91836101 157433316 183672202 275508303 367344404 551016606 1102033212