Search a number
-
+
1001100100104 = 2332131069551389
BaseRepresentation
bin11101001000101100011…
…01110100001000001000
310112201000101110022010100
432210112031310020020
5112400223111200404
62043522105245400
7132220123306656
oct16442615641010
93481011408110
101001100100104
113566229a9435
1214202a493860
1373532182c50
143664c5addd6
151b09311bd39
hexe916374208

1001100100104 has 48 divisors (see below), whose sum is σ = 2919875294700. Its totient is φ = 308030799744.

The previous prime is 1001100100097. The next prime is 1001100100123. The reversal of 1001100100104 is 4010010011001.

It can be written as a sum of positive squares in 2 ways, for example, as 998900302500 + 2199797604 = 999450^2 + 46902^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534774759 + ... + 534776630.

Almost surely, 21001100100104 is an apocalyptic number.

It is an amenable number.

1001100100104 is an abundant number, since it is smaller than the sum of its proper divisors (1918775194596).

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

1001100100104 is a wasteful number, since it uses less digits than its factorization.

1001100100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069551414 (or 1069551407 counting only the distinct ones).

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

Adding to 1001100100104 its reverse (4010010011001), we get a palindrome (5011110111105).

The spelling of 1001100100104 in words is "one trillion, one billion, one hundred million, one hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1069551389 2139102778 3208654167 4278205556 6417308334 8556411112 9625962501 12834616668 13904168057 19251925002 25669233336 27808336114 38503850004 41712504171 55616672228 77007700008 83425008342 111233344456 125137512513 166850016684 250275025026 333700033368 500550050052 1001100100104