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10022202202122 = 2321147222914071
BaseRepresentation
bin1001000111010111100111…
…0011010101100000001010
31022111010001111120222110200
42101311321303111200022
52303200432230431442
633152045223153030
72053036341061455
oct221657163254012
938433044528420
1010022202202122
1132144349570a0
12115a4532a5776
13579121b55c26
14269111aa649c
15125a791b334c
hex91d79cd580a

10022202202122 has 72 divisors (see below), whose sum is σ = 24203584315872. Its totient is φ = 2972413160400.

The previous prime is 10022202202069. The next prime is 10022202202147. The reversal of 10022202202122 is 22120220222001.

10022202202122 is a `hidden beast` number, since 10 + 0 + 2 + 220 + 220 + 212 + 2 = 666.

It is a super-2 number, since 2×100222022021222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10022202202095 and 10022202202104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11019654 + ... + 11894417.

It is an arithmetic number, because the mean of its divisors is an integer number (336160893276).

Almost surely, 210022202202122 is an apocalyptic number.

10022202202122 is an abundant number, since it is smaller than the sum of its proper divisors (14181382113750).

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

10022202202122 is a wasteful number, since it uses less digits than its factorization.

10022202202122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22914184 (or 22914134 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10022202202122 its reverse (22120220222001), we get a palindrome (32142422424123).

The spelling of 10022202202122 in words is "ten trillion, twenty-two billion, two hundred two million, two hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 423 517 846 1034 1551 2209 3102 4418 4653 6627 9306 13254 19881 24299 39762 48598 72897 145794 218691 437382 22914071 45828142 68742213 137484426 206226639 252054781 412453278 504109562 756164343 1076961337 1512328686 2153922674 2268493029 3230884011 4536986058 6461768022 9692652033 11846574707 19385304066 23693149414 35539724121 50617182839 71079448242 101234365678 106619172363 151851548517 213238344726 303703097034 455554645551 556789011229 911109291102 1113578022458 1670367033687 3340734067374 5011101101061 10022202202122