Search a number
-
+
100120101100002 = 23238537229199697
BaseRepresentation
bin10110110000111100000111…
…000011111001100111100010
3111010111101110222201112220200
4112300330013003321213202
5101110331431340200002
6552534312310050030
730042303303510654
oct2660740703714742
9433441428645820
10100120101100002
11299a0772a44215
12b28bb43349916
1343b339226a6a9
141aa1ba57546d4
15b89548595b1c
hex5b0f070f99e2

100120101100002 has 48 divisors (see below), whose sum is σ = 217014288861240. Its totient is φ = 33359922925056.

The previous prime is 100120101100001. The next prime is 100120101100009. The reversal of 100120101100002 is 200001101021001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92899159373241 + 7220941726761 = 9638421^2 + 2687181^2 .

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 (100120101100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501260218 + ... + 501459914.

Almost surely, 2100120101100002 is an apocalyptic number.

100120101100002 is an abundant number, since it is smaller than the sum of its proper divisors (116894187761238).

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

100120101100002 is a wasteful number, since it uses less digits than its factorization.

100120101100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210787 (or 210784 counting only the distinct ones).

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

Adding to 100120101100002 its reverse (200001101021001), we get a palindrome (300121202121003).

The spelling of 100120101100002 in words is "one hundred trillion, one hundred twenty billion, one hundred one million, one hundred thousand, two".

Divisors: 1 2 3 6 9 18 3853 7229 7706 11559 14458 21687 23118 34677 43374 65061 69354 130122 199697 399394 599091 1198182 1797273 3594546 27853337 55706674 83560011 167120022 250680033 501360066 769432541 1443609613 1538865082 2308297623 2887219226 4330828839 4616595246 6924892869 8661657678 12992486517 13849785738 25984973034 5562227838889 11124455677778 16686683516667 33373367033334 50060050550001 100120101100002