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1011211100112 = 243197431492307
BaseRepresentation
bin11101011011100001110…
…00001101111111010000
310120200010001002022122010
432231300320031333100
5113031430020200422
62052313255142520
7133025516350053
oct16556070157720
93520101068563
101011211100112
1135a941338394
12143b90674a40
1374483b659a5
1436d2b388a9a
151b485b03b0c
hexeb70e0dfd0

1011211100112 has 80 divisors (see below), whose sum is σ = 2753487336960. Its totient is φ = 318899822976.

The previous prime is 1011211100111. The next prime is 1011211100173. The reversal of 1011211100112 is 2110011121101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011211100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68538 + ... + 1423769.

It is an arithmetic number, because the mean of its divisors is an integer number (34418591712).

Almost surely, 21011211100112 is an apocalyptic number.

1011211100112 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 1011211100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376743668480).

1011211100112 is an abundant number, since it is smaller than the sum of its proper divisors (1742276236848).

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

1011211100112 is a wasteful number, since it uses less digits than its factorization.

1011211100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493080 (or 1493074 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1011211100112 its reverse (2110011121101), we get a palindrome (3121222221213).

The spelling of 1011211100112 in words is "one trillion, eleven billion, two hundred eleven million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 743 912 1486 2229 2972 4458 5944 8916 11888 14117 17832 28234 35664 42351 56468 84702 112936 169404 225872 338808 677616 1492307 2984614 4476921 5969228 8953842 11938456 17907684 23876912 28353833 35815368 56707666 71630736 85061499 113415332 170122998 226830664 340245996 453661328 680491992 1108784101 1360983984 2217568202 3326352303 4435136404 6652704606 8870272808 13305409212 17740545616 21066897919 26610818424 42133795838 53221636848 63200693757 84267591676 126401387514 168535183352 252802775028 337070366704 505605550056 1011211100112