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201144201023400 = 233521501322330003
BaseRepresentation
bin101101101111000010001000…
…101001101000111110101000
3222101012012100012201110111220
4231233002020221220332220
5202331021310430222100
61551444211552222040
760240121545455505
oct5557021051507650
9871165305643456
10201144201023400
11590aa85a728448
121a687115b3a920
138830a8059316b
1437956075ba4ac
15183c350259aa0
hexb6f088a68fa8

201144201023400 has 96 divisors (see below), whose sum is σ = 623588584904160. Its totient is φ = 53634878403840.

The previous prime is 201144201023281. The next prime is 201144201023407. The reversal of 201144201023400 is 4320102441102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (201144201023407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2157202 + ... + 20172801.

It is an arithmetic number, because the mean of its divisors is an integer number (6495714426085).

Almost surely, 2201144201023400 is an apocalyptic number.

201144201023400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201144201023400 is an abundant number, since it is smaller than the sum of its proper divisors (422444383880760).

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

201144201023400 is a wasteful number, since it uses less digits than its factorization.

201144201023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22345035 (or 22345026 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201144201023400 its reverse (4320102441102), we get a palindrome (205464303464502).

The spelling of 201144201023400 in words is "two hundred one trillion, one hundred forty-four billion, two hundred one million, twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 15013 30026 45039 60052 75065 90078 120104 150130 180156 225195 300260 360312 375325 450390 600520 750650 900780 1125975 1501300 1801560 2251950 3002600 4503900 9007800 22330003 44660006 66990009 89320012 111650015 133980018 178640024 223300030 267960036 334950045 446600060 535920072 558250075 669900090 893200120 1116500150 1339800180 1674750225 2233000300 2679600360 3349500450 4466000600 6699000900 13398001800 335240335039 670480670078 1005721005117 1340961340156 1676201675195 2011442010234 2681922680312 3352403350390 4022884020468 5028605025585 6704806700780 8045768040936 8381008375975 10057210051170 13409613401560 16762016751950 20114420102340 25143025127925 33524033503900 40228840204680 50286050255850 67048067007800 100572100511700 201144201023400