Search a number
-
+
102120201092 = 227134147145589
BaseRepresentation
bin101111100011011010…
…1101001101110000100
3100202120221011201101002
41133012311221232010
53133120232413332
6114525142152432
710243430246540
oct1370665515604
9322527151332
10102120201092
113a344211608
121795ba22718
139825b513c0
144d2a888a20
1529ca442562
hex17c6d69b84

102120201092 has 96 divisors (see below), whose sum is σ = 230111400960. Its totient is φ = 38574996480.

The previous prime is 102120201059. The next prime is 102120201097. The reversal of 102120201092 is 290102021201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102120201097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628634 + ... + 774222.

It is an arithmetic number, because the mean of its divisors is an integer number (2396993760).

Almost surely, 2102120201092 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 102120201092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115055700480).

102120201092 is an abundant number, since it is smaller than the sum of its proper divisors (127991199868).

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

102120201092 is a wasteful number, since it uses less digits than its factorization.

102120201092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145701 (or 145699 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 102120201092 its reverse (290102021201), we get a palindrome (392222222293).

The spelling of 102120201092 in words is "one hundred two billion, one hundred twenty million, two hundred one thousand, ninety-two".

Divisors: 1 2 4 7 13 14 26 28 41 47 52 82 91 94 164 182 188 287 329 364 533 574 611 658 1066 1148 1222 1316 1927 2132 2444 3731 3854 4277 7462 7708 8554 13489 14924 17108 25051 26978 50102 53956 100204 145589 175357 291178 350714 582356 701428 1019123 1892657 2038246 3785314 4076492 5969149 6842683 7570628 11938298 13248599 13685366 23876596 26497198 27370732 41784043 47898781 52994396 77598937 83568086 88954879 95797562 155197874 167136172 177909758 191595124 280550003 310395748 355819516 543192559 561100006 622684153 1086385118 1122200012 1245368306 1963850021 2172770236 2490736612 3647150039 3927700042 7294300078 7855400084 14588600156 25530050273 51060100546 102120201092