Search a number
-
+
1001012200110 = 23651323241487
BaseRepresentation
bin11101001000100001111…
…10100000001010101110
310112200210021001112000000
432210100332200022232
5112400033110400420
62043505245245130
7132215005211526
oct16442076401256
93480707045000
101001012200110
1135658832190a
12142004b637a6
1373519bb7b10
1436640a4c686
151b08a557690
hexe910fa02ae

1001012200110 has 672 divisors, whose sum is σ = 3121870949568. Its totient is φ = 229469137920.

The previous prime is 1001012200109. The next prime is 1001012200147. The reversal of 1001012200110 is 110022101001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1001012200092 and 1001012200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2055466287 + ... + 2055466773.

It is an arithmetic number, because the mean of its divisors is an integer number (4645641294).

Almost surely, 21001012200110 is an apocalyptic number.

1001012200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001012200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560935474784).

1001012200110 is an abundant number, since it is smaller than the sum of its proper divisors (2120858749458).

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

1001012200110 is a wasteful number, since it uses less digits than its factorization.

1001012200110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 574 counting only the distinct ones).

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

Adding to 1001012200110 its reverse (110022101001), we get a palindrome (1111034301111).

The spelling of 1001012200110 in words is "one trillion, one billion, twelve million, two hundred thousand, one hundred ten".