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1105221236420 = 225719187747129
BaseRepresentation
bin10000000101010100010…
…100011011011011000100
310220122202202202001121102
4100011110110123123010
5121101443114031140
62203422010435232
7142564261335110
oct20052424333304
93818682661542
101105221236420
113967a3636214
1215a248432b18
13802b6718292
143b6c8ab8740
151db39058e15
hex1015451b6c4

1105221236420 has 96 divisors (see below), whose sum is σ = 2669515591680. Its totient is φ = 376511247360.

The previous prime is 1105221236389. The next prime is 1105221236503. The reversal of 1105221236420 is 246321225011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23427416 + ... + 23474544.

It is an arithmetic number, because the mean of its divisors is an integer number (27807454080).

Almost surely, 21105221236420 is an apocalyptic number.

1105221236420 is a gapful number since it is divisible by the number (10) 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 1105221236420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334757795840).

1105221236420 is an abundant number, since it is smaller than the sum of its proper divisors (1564294355260).

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

1105221236420 is a wasteful number, since it uses less digits than its factorization.

1105221236420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48213 (or 48211 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 1105221236420 in words is "one trillion, one hundred five billion, two hundred twenty-one million, two hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 191 382 764 877 955 1337 1754 1910 2674 3508 3820 4385 5348 6139 6685 8770 12278 13370 17540 24556 26740 30695 47129 61390 94258 122780 167507 188516 235645 329903 335014 471290 659806 670028 837535 942580 1172549 1319612 1649515 1675070 2345098 3299030 3350140 4690196 5862745 6598060 9001639 11725490 18003278 23450980 36006556 41332133 45008195 63011473 82664266 90016390 126022946 165328532 180032780 206660665 252045892 289324931 315057365 413321330 578649862 630114730 826642660 1157299724 1260229460 1446624655 2893249310 5786498620 7894437403 15788874806 31577749612 39472187015 55261061821 78944374030 110522123642 157888748060 221044247284 276305309105 552610618210 1105221236420