Search a number
-
+
1242010320100 = 22521122371239263
BaseRepresentation
bin10010000100101101100…
…101010111110011100100
311101201211211112111012221
4102010231211113303210
5130322114120220400
62350323251322124
7155506113350254
oct22045545276344
94351754474187
101242010320100
114398084a0400
121808628b0344
1390175cb8a94
1444183ab9964
1522492e22c1a
hex1212d957ce4

1242010320100 has 432 divisors, whose sum is σ = 3159877754880. Its totient is φ = 422524256000.

The previous prime is 1242010320097. The next prime is 1242010320101. The reversal of 1242010320100 is 10230102421.

It is not an unprimeable number, because it can be changed into a prime (1242010320101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4722472569 + ... + 4722472831.

It is an arithmetic number, because the mean of its divisors is an integer number (7314531840).

Almost surely, 21242010320100 is an apocalyptic number.

1242010320100 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 1242010320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579938877440).

1242010320100 is an abundant number, since it is smaller than the sum of its proper divisors (1917867434780).

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

1242010320100 is a wasteful number, since it uses less digits than its factorization.

1242010320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1242010320100 its reverse (10230102421), we get a palindrome (1252240422521).

The spelling of 1242010320100 in words is "one trillion, two hundred forty-two billion, ten million, three hundred twenty thousand, one hundred".