Search a number
-
+
133222100310 = 232513197184407
BaseRepresentation
bin111110000010010100…
…1111110110101010110
3110201212110212220022100
41330010221332311112
54140314324202220
6141111255542530
712424240111545
oct1740451766526
9421773786270
10133222100310
1151554447852
122199b98aa46
13c7415b0770
14663b3a815c
1536eab79d90
hex1f04a7ed56

133222100310 has 192 divisors, whose sum is σ = 398189675520. Its totient is φ = 30629249280.

The previous prime is 133222100309. The next prime is 133222100311. The reversal of 133222100310 is 13001222331.

133222100310 is a `hidden beast` number, since 1 + 33 + 222 + 100 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (133222100309) and next prime (133222100311).

It is a super-2 number, since 2×1332221003102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133222100311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1536127 + ... + 1620533.

It is an arithmetic number, because the mean of its divisors is an integer number (2073904560).

Almost surely, 2133222100310 is an apocalyptic number.

133222100310 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 133222100310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199094837760).

133222100310 is an abundant number, since it is smaller than the sum of its proper divisors (264967575210).

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

133222100310 is a wasteful number, since it uses less digits than its factorization.

133222100310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84523 (or 84520 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133222100310 its reverse (13001222331), we get a palindrome (146223322641).

The spelling of 133222100310 in words is "one hundred thirty-three billion, two hundred twenty-two million, one hundred thousand, three hundred ten".