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133110001331202 = 237173741596313301
BaseRepresentation
bin11110010001000000010110…
…010110000110110000000010
3122110022012011212012011122210
4132101000112112012300002
5114421333240320044302
61151033520155442550
740015610630642220
oct3621002626066002
9573265155164583
10133110001331202
113945a6a8643185
1212b1973a156456
1359372b0959b7c
1424c27b6503b10
15105c76b09966c
hex791016586c02

133110001331202 has 512 divisors, whose sum is σ = 345320230993920. Its totient is φ = 33338511360000.

The previous prime is 133110001331183. The next prime is 133110001331207. The reversal of 133110001331202 is 202133100011331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (133110001331207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 40324142952 + ... + 40324146252.

It is an arithmetic number, because the mean of its divisors is an integer number (674453576160).

Almost surely, 2133110001331202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133110001331202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172660115496960).

133110001331202 is an abundant number, since it is smaller than the sum of its proper divisors (212210229662718).

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

133110001331202 is a wasteful number, since it uses less digits than its factorization.

133110001331202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133110001331202 its reverse (202133100011331), we get a palindrome (335243101342533).

The spelling of 133110001331202 in words is "one hundred thirty-three trillion, one hundred ten billion, one million, three hundred thirty-one thousand, two hundred two".