Search a number
-
+
1201333021400 = 235229417171153
BaseRepresentation
bin10001011110110101000…
…001110010101011011000
311020211211222000121120102
4101132311001302223120
5124140312223141100
62315515035514532
7152536103124551
oct21366501625330
94224758017512
101201333021400
11423534198876
121749abbb8a48
1389392814c75
14422055a3328
15213b1c4ecd5
hex117b5072ad8

1201333021400 has 192 divisors, whose sum is σ = 3001617259200. Its totient is φ = 446265344000.

The previous prime is 1201333021391. The next prime is 1201333021409. The reversal of 1201333021400 is 41203331021.

It is an interprime number because it is at equal distance from previous prime (1201333021391) and next prime (1201333021409).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201333021409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16848224 + ... + 16919376.

It is an arithmetic number, because the mean of its divisors is an integer number (15633423225).

Almost surely, 21201333021400 is an apocalyptic number.

1201333021400 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 1201333021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500808629600).

1201333021400 is an abundant number, since it is smaller than the sum of its proper divisors (1800284237800).

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

1201333021400 is a wasteful number, since it uses less digits than its factorization.

1201333021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71310 (or 71301 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1201333021400 its reverse (41203331021), we get a palindrome (1242536352421).

The spelling of 1201333021400 in words is "one trillion, two hundred one billion, three hundred thirty-three million, twenty-one thousand, four hundred".