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21112211110000 = 245410631986097
BaseRepresentation
bin1001100110011100100011…
…10101111111100001110000
32202202022022021212221012211
410303032101311333201300
510231400302021010000
6112522452122101504
74306210162332133
oct463162165774160
982668267787184
1021112211110000
1167aa70286077a
12244b83094a894
13ba1b46b9a98a
1452db9d3b821a
1526929c8a87ba
hex133391d7f870

21112211110000 has 100 divisors (see below), whose sum is σ = 51162885473392. Its totient is φ = 8436935808000.

The previous prime is 21112211109971. The next prime is 21112211110019. The reversal of 21112211110000 is 1111221112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9636952 + ... + 11623048.

Almost surely, 221112211110000 is an apocalyptic number.

21112211110000 is a gapful number since it is divisible by the number (20) 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 21112211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25581442736696).

21112211110000 is an abundant number, since it is smaller than the sum of its proper divisors (30050674363392).

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

21112211110000 is a wasteful number, since it uses less digits than its factorization.

21112211110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987188 (or 1987167 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21112211110000 its reverse (1111221112), we get a palindrome (21113322331112).

It can be divided in two parts, 21112 and 211110000, that added together give a palindrome (211131112).

The spelling of 21112211110000 in words is "twenty-one trillion, one hundred twelve billion, two hundred eleven million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1063 1250 2000 2126 2500 4252 5000 5315 8504 10000 10630 17008 21260 26575 42520 53150 85040 106300 132875 212600 265750 425200 531500 664375 1063000 1328750 1986097 2126000 2657500 3972194 5315000 7944388 9930485 10630000 15888776 19860970 31777552 39721940 49652425 79443880 99304850 158887760 198609700 248262125 397219400 496524250 794438800 993048500 1241310625 1986097000 2111221111 2482621250 3972194000 4222442222 4965242500 8444884444 9930485000 10556105555 16889768888 19860970000 21112211110 33779537776 42224422220 52780527775 84448844440 105561055550 168897688880 211122111100 263902638875 422244222200 527805277750 844488444400 1055610555500 1319513194375 2111221111000 2639026388750 4222442222000 5278052777500 10556105555000 21112211110000