Search a number
-
+
1022035111104 = 263723928311243
BaseRepresentation
bin11101101111101100000…
…10100010110011000000
310121201001101101001100010
432313312002202303000
5113221111442023404
62101303315224520
7133560661051320
oct16676602426300
93551041331303
101022035111104
113644961a3017
121460b15a8140
13754ba492017
1437676b27280
151b8baecd189
hexedf60a2cc0

1022035111104 has 224 divisors, whose sum is σ = 3114613186560. Its totient is φ = 289734939648.

The previous prime is 1022035111079. The next prime is 1022035111109. The reversal of 1022035111104 is 4011115302201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1022035111109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90898507 + ... + 90909749.

Almost surely, 21022035111104 is an apocalyptic number.

1022035111104 is a gapful number since it is divisible by the number (14) 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 1022035111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557306593280).

1022035111104 is an abundant number, since it is smaller than the sum of its proper divisors (2092578075456).

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

1022035111104 is a wasteful number, since it uses less digits than its factorization.

1022035111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11787 (or 11777 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The spelling of 1022035111104 in words is "one trillion, twenty-two billion, thirty-five million, one hundred eleven thousand, one hundred four".