Search a number
-
+
1001001100020 = 223516683351667
BaseRepresentation
bin11101001000100000101…
…00001010001011110100
310112200202111011120112120
432210100110022023310
5112400022240200040
62043504211315540
7132214511650665
oct16442024121364
93480674146476
101001001100020
11356582030189
121420012abbb0
13735177cc60c
143663d39d36c
151b0895b37d0
hexe91050a2f4

1001001100020 has 24 divisors (see below), whose sum is σ = 2802803080224. Its totient is φ = 266933626656.

The previous prime is 1001001100003. The next prime is 1001001100027. The reversal of 1001001100020 is 200011001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a junction number, because it is equal to n+sod(n) for n = 1001001099981 and 1001001100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001001100027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8341675774 + ... + 8341675893.

It is an arithmetic number, because the mean of its divisors is an integer number (116783461676).

Almost surely, 21001001100020 is an apocalyptic number.

1001001100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001001100020 is an abundant number, since it is smaller than the sum of its proper divisors (1801801980204).

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

1001001100020 is a wasteful number, since it uses less digits than its factorization.

1001001100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16683351679 (or 16683351677 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001001100020 its reverse (200011001001), we get a palindrome (1201012101021).

The spelling of 1001001100020 in words is "one trillion, one billion, one million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 16683351667 33366703334 50050055001 66733406668 83416758335 100100110002 166833516670 200200220004 250250275005 333667033340 500500550010 1001001100020