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133100220000 = 2535411201667
BaseRepresentation
bin111101111110101100…
…1000010111001100000
3110201112222112201221210
41323331121002321200
54140042124020000
6141051223350120
712421230126426
oct1737531027140
9421488481853
10133100220000
11514a1671320
1221966bb2340
13c722278a37
14662911d116
1536e0102350
hex1efd642e60

133100220000 has 240 divisors, whose sum is σ = 476288188992. Its totient is φ = 32266560000.

The previous prime is 133100219963. The next prime is 133100220031. The reversal of 133100220000 is 22001331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 559167 + ... + 760833.

Almost surely, 2133100220000 is an apocalyptic number.

133100220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238144094496).

133100220000 is an abundant number, since it is smaller than the sum of its proper divisors (343187968992).

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

133100220000 is a wasteful number, since it uses less digits than its factorization.

133100220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201711 (or 201688 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 133100220000 its reverse (22001331), we get a palindrome (133122221331).

It can be divided in two parts, 13 and 3100220000, that added together give a palindrome (3100220013).

The spelling of 133100220000 in words is "one hundred thirty-three billion, one hundred million, two hundred twenty thousand".