Search a number
-
+
101436562216 = 23112477872833
BaseRepresentation
bin101111001111000010…
…1110001101100101000
3100200211021210021010201
41132132011301230220
53130220224442331
6114333241321544
710220456360353
oct1363605615450
9320737707121
10101436562216
113a023327600
12177aaa962b4
139747320062
144ca3b6d29a
15298a402a61
hex179e171b28

101436562216 has 96 divisors (see below), whose sum is σ = 213850465920. Its totient is φ = 45053268480.

The previous prime is 101436562193. The next prime is 101436562219. The reversal of 101436562216 is 612265634101.

It is not an unprimeable number, because it can be changed into a prime (101436562219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35803936 + ... + 35806768.

It is an arithmetic number, because the mean of its divisors is an integer number (2227609020).

Almost surely, 2101436562216 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 101436562216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106925232960).

101436562216 is an abundant number, since it is smaller than the sum of its proper divisors (112413903704).

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

101436562216 is a wasteful number, since it uses less digits than its factorization.

101436562216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 101436562216 in words is "one hundred one billion, four hundred thirty-six million, five hundred sixty-two thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 44 47 88 94 121 188 242 376 484 517 787 968 1034 1574 2068 2833 3148 4136 5666 5687 6296 8657 11332 11374 17314 22664 22748 31163 34628 36989 45496 62326 69256 73978 95227 124652 133151 147956 190454 249304 266302 295912 342793 380908 406879 532604 685586 761816 813758 1065208 1371172 1464661 1627516 2229571 2742344 2929322 3255032 4459142 4475669 5858644 8918284 8951338 11717288 16111271 17836568 17902676 24525281 32222542 35805352 49050562 64445084 98101124 104789837 128890168 196202248 209579674 269778091 419159348 539556182 838318696 1079112364 1152688207 2158224728 2305376414 4610752828 9221505656 12679570277 25359140554 50718281108 101436562216