Search a number
-
+
101120403204 = 2232171013163109
BaseRepresentation
bin101111000101100111…
…1101110011100000100
3100200000020212201111200
41132023033232130010
53124043310400304
6114242025102500
710206600150102
oct1361317563404
9320006781450
10101120403204
1139980916667
1217721027a30
1396c6985212
144c73b90c72
15296c7a0e39
hex178b3ee704

101120403204 has 72 divisors (see below), whose sum is σ = 270914618520. Its totient is φ = 31692536832.

The previous prime is 101120403203. The next prime is 101120403257. The reversal of 101120403204 is 402304021101.

It can be written as a sum of positive squares in 4 ways, for example, as 6471880704 + 94648522500 = 80448^2 + 307650^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101120403203) 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, 538402 + ... + 701510.

It is an arithmetic number, because the mean of its divisors is an integer number (3762703035).

Almost surely, 2101120403204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120403204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135457309260).

101120403204 is an abundant number, since it is smaller than the sum of its proper divisors (169794215316).

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

101120403204 is a wasteful number, since it uses less digits than its factorization.

101120403204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164149 (or 164144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101120403204 its reverse (402304021101), we get a palindrome (503424424305).

The spelling of 101120403204 in words is "one hundred one billion, one hundred twenty million, four hundred three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1013 2026 3039 4052 6078 9117 12156 17221 18234 34442 36468 51663 68884 103326 154989 163109 206652 309978 326218 489327 619956 652436 978654 1467981 1957308 2772853 2935962 5545706 5871924 8318559 11091412 16637118 24955677 33274236 49911354 99822708 165229417 330458834 495688251 660917668 991376502 1487064753 1982753004 2808900089 2974129506 5617800178 5948259012 8426700267 11235600356 16853400534 25280100801 33706801068 50560201602 101120403204