Search a number
-
+
101211100002 = 23219732849893
BaseRepresentation
bin101111001000010100…
…1101101001101100010
3100200020120112121010100
41132100221231031202
53124240020200002
6114255025043230
710212051104205
oct1362051551542
9320216477110
10101211100002
1139a180334a1
1217747486516
13970c6bc36c
144c81c3d93c
15297571911c
hex1790a6d362

101211100002 has 24 divisors (see below), whose sum is σ = 219401939484. Its totient is φ = 33719922144.

The previous prime is 101211099991. The next prime is 101211100009. The reversal of 101211100002 is 200001112101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80377353081 + 20833746921 = 283509^2 + 144339^2 .

It is a super-2 number, since 2×1012111000022 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101211100009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1389433 + ... + 1460460.

Almost surely, 2101211100002 is an apocalyptic number.

101211100002 is an abundant number, since it is smaller than the sum of its proper divisors (118190839482).

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

101211100002 is a wasteful number, since it uses less digits than its factorization.

101211100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851874 (or 2851871 counting only the distinct ones).

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

Adding to 101211100002 its reverse (200001112101), we get a palindrome (301212212103).

The spelling of 101211100002 in words is "one hundred one billion, two hundred eleven million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 1973 3946 5919 11838 17757 35514 2849893 5699786 8549679 17099358 25649037 51298074 5622838889 11245677778 16868516667 33737033334 50605550001 101211100002