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1111302011112 = 2331723349133923
BaseRepresentation
bin10000001010111110110…
…000101111100011101000
310221020110112210102022220
4100022332300233203220
5121201421303323422
62210305230514040
7143201046144156
oct20127660574350
93836415712286
101111302011112
11399334017247
1215b464965920
1380a45455c07
143bb045123d6
151dd92ce9e5c
hex102bec2f8e8

1111302011112 has 128 divisors (see below), whose sum is σ = 3070550799360. Its totient is φ = 333379988480.

The previous prime is 1111302011077. The next prime is 1111302011117. The reversal of 1111302011112 is 2111102031111.

It is a junction number, because it is equal to n+sod(n) for n = 1111302011091 and 1111302011100.

It is not an unprimeable number, because it can be changed into a prime (1111302011117) 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, 32742583 + ... + 32776505.

It is an arithmetic number, because the mean of its divisors is an integer number (23988678120).

Almost surely, 21111302011112 is an apocalyptic number.

1111302011112 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 1111302011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535275399680).

1111302011112 is an abundant number, since it is smaller than the sum of its proper divisors (1959248788248).

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

1111302011112 is a wasteful number, since it uses less digits than its factorization.

1111302011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37463 (or 37459 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 1111302011112 its reverse (2111102031111), we get a palindrome (3222404042223).

The spelling of 1111302011112 in words is "one trillion, one hundred eleven billion, three hundred two million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 3491 4692 6982 9384 10473 13964 20946 27928 33923 41892 59347 67846 80293 83784 101769 118694 135692 160586 178041 203538 237388 240879 271384 321172 356082 407076 474776 481758 576691 642344 712164 780229 814152 963516 1153382 1364981 1424328 1560458 1730073 1927032 2306764 2340687 2729962 3120916 3460146 4094943 4613528 4681374 5459924 6241832 6920292 8189886 9362748 10919848 13263893 13840584 16379772 18725496 26527786 32759544 39791679 53055572 79583358 106111144 118425193 159166716 236850386 318333432 355275579 473700772 710551158 947401544 1421102316 2013228281 2723779439 2842204632 4026456562 5447558878 6039684843 8052913124 8171338317 10895117756 12079369686 16105826248 16342676634 21790235512 24158739372 32685353268 46304250463 48317478744 65370706536 92608500926 138912751389 185217001852 277825502778 370434003704 555651005556 1111302011112