Search a number
-
+
5101233120 = 253354183347
BaseRepresentation
bin1001100000000111…
…01010001111100000
3111011111212111022000
410300003222033200
540421403424440
62202105044000
7240261523524
oct46003521740
914144774260
105101233120
112188570a45
12ba4486600
13633b14749
143656d3d84
151ecca1730
hex1300ea3e0

5101233120 has 384 divisors, whose sum is σ = 18563489280. Its totient is φ = 1307381760.

The previous prime is 5101233097. The next prime is 5101233143. The reversal of 5101233120 is 213321015.

5101233120 is a `hidden beast` number, since 510 + 1 + 2 + 33 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (5101233097) and next prime (5101233143).

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

It is a junction number, because it is equal to n+sod(n) for n = 5101233093 and 5101233102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14700787 + ... + 14701133.

It is an arithmetic number, because the mean of its divisors is an integer number (48342420).

Almost surely, 25101233120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9281744640).

5101233120 is an abundant number, since it is smaller than the sum of its proper divisors (13462256160).

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

5101233120 is a wasteful number, since it uses less digits than its factorization.

5101233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5101233120 is about 71422.9173305039. The cubic root of 5101233120 is about 1721.4393396265.

Adding to 5101233120 its reverse (213321015), we get a palindrome (5314554135).

The spelling of 5101233120 in words is "five billion, one hundred one million, two hundred thirty-three thousand, one hundred twenty".