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221431102131040 = 2553737403902387
BaseRepresentation
bin110010010110001111110010…
…001011110100101101100000
31002001000121101020020022122021
4302112033302023310231200
5213010411344121143130
62102540013300551224
764432604063625364
oct6226176213645540
91061017336208567
10221431102131040
1164611448501aaa
1220a029b80b2514
139672b2b98a4c9
143c9747302b2a4
151a8ede781637a
hexc963f22f4b60

221431102131040 has 48 divisors (see below), whose sum is σ = 537269653901232. Its totient is φ = 86178591097344.

The previous prime is 221431102131037. The next prime is 221431102131061. The reversal of 221431102131040 is 40131201134122.

221431102131040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221431102130996 and 221431102131014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18701945274 + ... + 18701957113.

It is an arithmetic number, because the mean of its divisors is an integer number (11193117789609).

Almost surely, 2221431102131040 is an apocalyptic number.

221431102131040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221431102131040 is an abundant number, since it is smaller than the sum of its proper divisors (315838551770192).

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

221431102131040 is a wasteful number, since it uses less digits than its factorization.

221431102131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37403902439 (or 37403902431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 221431102131040 its reverse (40131201134122), we get a palindrome (261562303265162).

The spelling of 221431102131040 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, one hundred two million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 37403902387 74807804774 149615609548 187019511935 299231219096 374039023870 598462438192 748078047740 1196924876384 1383944388319 1496156095480 2767888776638 2992312190960 5535777553276 5984624381920 6919721941595 11071555106552 13839443883190 22143110213104 27678887766380 44286220426208 55357775532760 110715551065520 221431102131040