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201551122024 = 237113103130893
BaseRepresentation
bin1011101110110101100…
…0100000111001101000
3201021020102222211220021
42323231120200321220
511300234041401044
6232331420010224
720363424161440
oct2735530407150
9637212884807
10201551122024
117852839912a
123308b090974
13160107a0465
149a800d1120
15539971ae84
hex2eed620e68

201551122024 has 64 divisors (see below), whose sum is σ = 436154077440. Its totient is φ = 85528826880.

The previous prime is 201551122009. The next prime is 201551122037. The reversal of 201551122024 is 420221155102.

201551122024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 201551122024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6508722 + ... + 6539614.

It is an arithmetic number, because the mean of its divisors is an integer number (6814907460).

Almost surely, 2201551122024 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 201551122024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218077038720).

201551122024 is an abundant number, since it is smaller than the sum of its proper divisors (234602955416).

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

201551122024 is a wasteful number, since it uses less digits than its factorization.

201551122024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32050 (or 32046 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 201551122024 its reverse (420221155102), we get a palindrome (621772277126).

The spelling of 201551122024 in words is "two hundred one billion, five hundred fifty-one million, one hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 791 904 1031 1582 2062 3164 4124 6328 7217 8248 14434 28868 30893 57736 61786 116503 123572 216251 233006 247144 432502 466012 815521 865004 932024 1631042 1730008 3262084 3490909 6524168 6981818 13963636 24436363 27927272 31850683 48872726 63701366 97745452 127402732 195490904 222954781 254805464 445909562 891819124 1783638248 3599127179 7198254358 14396508716 25193890253 28793017432 50387780506 100775561012 201551122024