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1101020011112 = 237311553408389
BaseRepresentation
bin10000000001011001111…
…010000001101001101000
310220020220222101200221002
4100001121322001221220
5121014342110323422
62201445051534132
7142355205451610
oct20013172015150
93806828350832
101101020011112
11394a3810248a
1215947545a348
137ca97200948
143b40ab43a40
151d9902d6692
hex10059e81a68

1101020011112 has 64 divisors (see below), whose sum is σ = 2437010150400. Its totient is φ = 456349086720.

The previous prime is 1101020011097. The next prime is 1101020011123. The reversal of 1101020011112 is 2111100201011.

It is a junction number, because it is equal to n+sod(n) for n = 1101020011093 and 1101020011102.

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, 2491814 + ... + 2900202.

It is an arithmetic number, because the mean of its divisors is an integer number (38078283600).

Almost surely, 21101020011112 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 1101020011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218505075200).

1101020011112 is an abundant number, since it is smaller than the sum of its proper divisors (1335990139288).

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

1101020011112 is a wasteful number, since it uses less digits than its factorization.

1101020011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409986 (or 409982 counting only the distinct ones).

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

Adding to 1101020011112 its reverse (2111100201011), we get a palindrome (3212120212123).

The spelling of 1101020011112 in words is "one trillion, one hundred one billion, twenty million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1553 1736 3106 6212 10871 12424 21742 43484 48143 86968 96286 192572 337001 385144 408389 674002 816778 1348004 1633556 2696008 2858723 3267112 5717446 11434892 12660059 22869784 25320118 50640236 88620413 101280472 177240826 354481652 634228117 708963304 1268456234 2536912468 4439596819 5073824936 8879193638 17758387276 19661071627 35516774552 39322143254 78644286508 137627501389 157288573016 275255002778 550510005556 1101020011112