Search a number
-
+
10022102212199 = 71117167123137243
BaseRepresentation
bin1001000111010111001111…
…0101111001111001100111
31022111002210112102222002012
42101311303311321321213
52303200231131242244
633152031252104435
72053034015140610
oct221656365717147
938432715388065
1010022102212199
1132143934721a0
12115a42590511b
13579107216bac
142691026b8c07
15125a7051189e
hex91d73d79e67

10022102212199 has 64 divisors (see below), whose sum is σ = 13320485240832. Its totient is φ = 7299908697600.

The previous prime is 10022102212153. The next prime is 10022102212237. The reversal of 10022102212199 is 99121220122001.

It is a cyclic number.

It is not a de Polignac number, because 10022102212199 - 224 = 10022085434983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022102212099) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269081672 + ... + 269118914.

It is an arithmetic number, because the mean of its divisors is an integer number (208132581888).

Almost surely, 210022102212199 is an apocalyptic number.

10022102212199 is a deficient number, since it is larger than the sum of its proper divisors (3298383028633).

10022102212199 is a wasteful number, since it uses less digits than its factorization.

10022102212199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38676.

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 10022102212199 in words is "ten trillion, twenty-two billion, one hundred two million, two hundred twelve thousand, one hundred ninety-nine".

Divisors: 1 7 11 17 77 119 167 187 1169 1231 1309 1837 2839 8617 12859 13541 19873 20927 31229 37243 94787 146489 205577 218603 230197 260701 409673 633131 1439039 1611379 2261347 2867711 3494809 4431917 6219581 6964441 15829429 24463663 38442899 43537067 45846133 48751087 68415391 105732877 269100293 320922931 478907737 504307463 740130139 779384261 1163061647 3530152241 5455689827 7656304211 8141431529 8573226871 53594129477 60012588097 84219346321 130157171587 589535424247 911100201109 1431728887457 10022102212199