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110002022022112 = 251110116131918237
BaseRepresentation
bin11001000000101111010111…
…011100100111101111100000
3112102111002110001100010222221
4121000233113130213233200
5103404233120114201422
61025542121542440424
732112245436442003
oct3100572734475740
9472432401303887
10110002022022112
1132060660759350
1210407166733114
13494c1b918944c
141d241aa6cd53a
15cab611ec53c7
hex640bd7727be0

110002022022112 has 96 divisors (see below), whose sum is σ = 238741538210784. Its totient is φ = 49475142912000.

The previous prime is 110002022022097. The next prime is 110002022022127. The reversal of 110002022022112 is 211220220200011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110002022022097) and next prime (110002022022127).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 56386258 + ... + 58304494.

It is an arithmetic number, because the mean of its divisors is an integer number (2486891023029).

Almost surely, 2110002022022112 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 110002022022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119370769105392).

110002022022112 is an abundant number, since it is smaller than the sum of its proper divisors (128739516188672).

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

110002022022112 is a wasteful number, since it uses less digits than its factorization.

110002022022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919972 (or 1919964 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110002022022112 its reverse (211220220200011), we get a palindrome (321222242222123).

It can be divided in two parts, 1100020 and 22022112, that added together give a palindrome (23122132).

The spelling of 110002022022112 in words is "one hundred ten trillion, two billion, twenty-two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1613 1616 2222 3226 3232 4444 6452 8888 12904 17743 17776 25808 35486 35552 51616 70972 141944 162913 283888 325826 567776 651652 1303304 1792043 1918237 2606608 3584086 3836474 5213216 7168172 7672948 14336344 15345896 21100607 28672688 30691792 42201214 57345376 61383584 84402428 168804856 193741937 337609712 387483874 675219424 774967748 1549935496 2131161307 3094116281 3099870992 4262322614 6188232562 6199741984 8524645228 12376465124 17049290456 24752930248 34035279091 34098580912 49505860496 68070558182 68197161824 99011720992 136141116364 272282232728 312505744381 544564465456 625011488762 1089128930912 1250022977524 2500045955048 3437563188191 5000091910096 6875126376382 10000183820192 13750252752764 27500505505528 55001011011056 110002022022112