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102222100002 = 231117113806257
BaseRepresentation
bin101111100110011101…
…0010111011000100010
3100202212000220201101210
41133030322113120202
53133322324200002
6114543222210550
710246105341111
oct1371472273042
9322760821353
10102222100002
113a39678a790
1217989b83a56
139840cab309
144d3a211c78
1529d436e96c
hex17cce97622

102222100002 has 64 divisors (see below), whose sum is σ = 238239563904. Its totient is φ = 28896215040.

The previous prime is 102222099919. The next prime is 102222100033. The reversal of 102222100002 is 200001222201.

It is a super-4 number, since 4×1022221000024 (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276343 + ... + 529914.

It is an arithmetic number, because the mean of its divisors is an integer number (3722493186).

Almost surely, 2102222100002 is an apocalyptic number.

102222100002 is an abundant number, since it is smaller than the sum of its proper divisors (136017463902).

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

102222100002 is a wasteful number, since it uses less digits than its factorization.

102222100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806403.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102222100002 its reverse (200001222201), we get a palindrome (302223322203).

The spelling of 102222100002 in words is "one hundred two billion, two hundred twenty-two million, one hundred thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 113 187 226 339 374 561 678 1122 1243 1921 2486 3729 3842 5763 7458 11526 21131 42262 63393 126786 806257 1612514 2418771 4837542 8868827 13706369 17737654 26606481 27412738 41119107 53212962 82238214 91107041 150770059 182214082 273321123 301540118 452310177 546642246 904620354 1002177451 1548819697 2004354902 3006532353 3097639394 4646459091 6013064706 9292918182 17037016667 34074033334 51111050001 102222100002