Search a number
-
+
203101211104 = 251113718712251
BaseRepresentation
bin1011110100100111000…
…1101000100111100000
3201102020110202112100221
42331021301220213200
511311422402223404
6233145311452424
720450015544541
oct2751161504740
9642213675327
10203101211104
117915337aa90
1233442227114
13161c997c52c
149b89d124c8
15543a85b954
hex2f49c689e0

203101211104 has 96 divisors (see below), whose sum is σ = 439820140032. Its totient is φ = 91555200000.

The previous prime is 203101211087. The next prime is 203101211107. The reversal of 203101211104 is 401112101302.

203101211104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203101211107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90225979 + ... + 90228229.

It is an arithmetic number, because the mean of its divisors is an integer number (4581459792).

Almost surely, 2203101211104 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 203101211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219910070016).

203101211104 is an abundant number, since it is smaller than the sum of its proper divisors (236718928928).

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

203101211104 is a wasteful number, since it uses less digits than its factorization.

203101211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 203101211104 its reverse (401112101302), we get a palindrome (604213312406).

The spelling of 203101211104 in words is "two hundred three billion, one hundred one million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 274 352 548 1096 1507 1871 2192 2251 3014 3742 4384 4502 6028 7484 9004 12056 14968 18008 20581 24112 24761 29936 36016 41162 48224 49522 59872 72032 82324 99044 164648 198088 256327 308387 329296 396176 512654 616774 658592 792352 1025308 1233548 2050616 2467096 2819597 3392257 4101232 4211621 4934192 5639194 6784514 8202464 8423242 9868384 11278388 13569028 16846484 22556776 27138056 33692968 45113552 46327831 54276112 67385936 90227104 92655662 108552224 134771872 185311324 370622648 576992077 741245296 1153984154 1482490592 2307968308 4615936616 6346912847 9231873232 12693825694 18463746464 25387651388 50775302776 101550605552 203101211104