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133322102001330 = 235112376116272863
BaseRepresentation
bin11110010100000101111000…
…100001111100111010110010
3122111001110122112000120221220
4132110011320201330322302
5114433322131103020310
61151315154513125510
740040126654615664
oct3624057041747262
9574043575016856
10133322102001330
1139531649974a00
1212b52872259896
1359512b2c2a388
1424ccb7772a534
151063031a27670
hex79417887ceb2

133322102001330 has 192 divisors, whose sum is σ = 367132995984384. Its totient is φ = 30931456089600.

The previous prime is 133322102001329. The next prime is 133322102001349. The reversal of 133322102001330 is 33100201223331.

133322102001330 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133322102001330.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56479 + ... + 16329341.

It is an arithmetic number, because the mean of its divisors is an integer number (1912151020752).

Almost surely, 2133322102001330 is an apocalyptic number.

133322102001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133322102001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183566497992192).

133322102001330 is an abundant number, since it is smaller than the sum of its proper divisors (233810893983054).

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

133322102001330 is a wasteful number, since it uses less digits than its factorization.

133322102001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16272993 (or 16272982 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133322102001330 its reverse (33100201223331), we get a palindrome (166422303224661).

The spelling of 133322102001330 in words is "one hundred thirty-three trillion, three hundred twenty-two billion, one hundred two million, one thousand, three hundred thirty".