Search a number
-
+
1001111020000 = 2554713550061
BaseRepresentation
bin11101001000101101101…
…11011110000111100000
310112201001011000002101221
432210112313132013200
5112400233410120000
62043523135304424
7132220315160260
oct16442667360740
93481034002357
101001111020000
11356629087743
1214203207b114
1373534507420
143664dc137a0
151b09407761a
hexe916dde1e0

1001111020000 has 240 divisors, whose sum is σ = 3031246465632. Its totient is φ = 316834560000.

The previous prime is 1001111019943. The next prime is 1001111020009. The reversal of 1001111020000 is 201111001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001111020009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1544970 + ... + 2095030.

Almost surely, 21001111020000 is an apocalyptic number.

1001111020000 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 1001111020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515623232816).

1001111020000 is an abundant number, since it is smaller than the sum of its proper divisors (2030135445632).

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

1001111020000 is an equidigital number, since it uses as much as digits as its factorization.

1001111020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550111 (or 550088 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001111020000 its reverse (201111001), we get a palindrome (1001312131001).

The spelling of 1001111020000 in words is "one trillion, one billion, one hundred eleven million, twenty thousand".