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20110112000100 = 22325228319789031
BaseRepresentation
bin1001001001010010000000…
…00101010000100001100100
32122012111201021121200021200
410210221000011100201210
510113441002133000400
6110434242524242500
74143623215414143
oct444510005204144
978174637550250
1020110112000100
116453717a55511
1223095839a0430
13b2b4b5a66495
144d749827775a
1524d19bc03b00
hex124a40150864

20110112000100 has 108 divisors (see below), whose sum is σ = 63036334583040. Its totient is φ = 5362500369600.

The previous prime is 20110112000081. The next prime is 20110112000131. The reversal of 20110112000100 is 100021101102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25092585 + ... + 25881615.

Almost surely, 220110112000100 is an apocalyptic number.

20110112000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110112000100 is an abundant number, since it is smaller than the sum of its proper divisors (42926222582940).

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

20110112000100 is a wasteful number, since it uses less digits than its factorization.

20110112000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817370 (or 817360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20110112000100 its reverse (100021101102), we get a palindrome (20210133101202).

The spelling of 20110112000100 in words is "twenty trillion, one hundred ten billion, one hundred twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 28319 56638 84957 113276 141595 169914 254871 283190 339828 424785 509742 566380 707975 789031 849570 1019484 1274355 1415950 1578062 1699140 2123925 2367093 2548710 2831900 3156124 3945155 4247850 4734186 5097420 6371775 7101279 7890310 8495700 9468372 11835465 12743550 14202558 15780620 19725775 23670930 25487100 28405116 35506395 39451550 47341860 59177325 71012790 78903100 118354650 142025580 177531975 236709300 355063950 710127900 22344568889 44689137778 67033706667 89378275556 111722844445 134067413334 201101120001 223445688890 268134826668 335168533335 402202240002 446891377780 558614222225 670337066670 804404480004 1005505600005 1117228444450 1340674133340 1675842666675 2011011200010 2234456888900 3351685333350 4022022400020 5027528000025 6703370666700 10055056000050 20110112000100