Search a number
-
+
1001120100120 = 233257616739677
BaseRepresentation
bin11101001000101110110…
…10000110111100011000
310112201001210002101222200
432210113122012330120
5112400243221200440
62043524102050200
7132220455306030
oct16442732067430
93481053071880
101001120100120
11356633219778
12142035119960
137353636638a
14366510d88c0
151b094c6cc30
hexe917686f18

1001120100120 has 384 divisors, whose sum is σ = 3785411111040. Its totient is φ = 224718520320.

The previous prime is 1001120100109. The next prime is 1001120100131. The reversal of 1001120100120 is 210010211001.

It is a happy number.

1001120100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1001120100109) and next prime (1001120100131).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103448722 + ... + 103458398.

It is an arithmetic number, because the mean of its divisors is an integer number (9857841435).

Almost surely, 21001120100120 is an apocalyptic number.

1001120100120 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 1001120100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892705555520).

1001120100120 is an abundant number, since it is smaller than the sum of its proper divisors (2784291010920).

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

1001120100120 is a wasteful number, since it uses less digits than its factorization.

1001120100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10435 (or 10428 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001120100120 its reverse (210010211001), we get a palindrome (1211130311121).

The spelling of 1001120100120 in words is "one trillion, one billion, one hundred twenty million, one hundred thousand, one hundred twenty".