Search a number
-
+
1125651021000 = 2335311273107397
BaseRepresentation
bin10000011000010110000…
…001110111110011001000
310222121111112222122110120
4100120112001313303020
5121420313130133000
62221041131543240
7144216452544222
oct20302601676310
93877445878416
101125651021000
113a4427723800
121621aa2bab20
13821c11623cc
143c6a60b9412
151e4328bd6a0
hex10616077cc8

1125651021000 has 768 divisors, whose sum is σ = 3959734222080. Its totient is φ = 265959936000.

The previous prime is 1125651020987. The next prime is 1125651021049. The reversal of 1125651021000 is 1201565211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2835392802 + ... + 2835393198.

It is an arithmetic number, because the mean of its divisors is an integer number (5155903935).

Almost surely, 21125651021000 is an apocalyptic number.

1125651021000 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 1125651021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979867111040).

1125651021000 is an abundant number, since it is smaller than the sum of its proper divisors (2834083201080).

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

1125651021000 is a wasteful number, since it uses less digits than its factorization.

1125651021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 1125651021000 its reverse (1201565211), we get a palindrome (1126852586211).

The spelling of 1125651021000 in words is "one trillion, one hundred twenty-five billion, six hundred fifty-one million, twenty-one thousand".