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100101222212232 = 23315678539311711
BaseRepresentation
bin10110110000101010100001…
…110010101010001010001000
3111010102120202021202200112010
4112300222201302222022020
5101110024300341242412
6552521511110015520
730041034413560563
oct2660524162521210
9433376667680463
10100101222212232
112999376533a42a
12b2883549475a0
1343b1673c26197
141aa0cd43054da
15b88ce0e8133c
hex5b0aa1caa288

100101222212232 has 64 divisors (see below), whose sum is σ = 250442886758400. Its totient is φ = 33341768389440.

The previous prime is 100101222212231. The next prime is 100101222212279. The reversal of 100101222212232 is 232212222101001.

It is a junction number, because it is equal to n+sod(n) for n = 100101222212199 and 100101222212208.

It is not an unprimeable number, because it can be changed into a prime (100101222212231) 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 15 ways as a sum of consecutive naturals, for example, 320978857 + ... + 321290567.

It is an arithmetic number, because the mean of its divisors is an integer number (3913170105600).

Almost surely, 2100101222212232 is an apocalyptic number.

100101222212232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101222212232 is an abundant number, since it is smaller than the sum of its proper divisors (150341664546168).

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

100101222212232 is a wasteful number, since it uses less digits than its factorization.

100101222212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321826 (or 321822 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100101222212232 its reverse (232212222101001), we get a palindrome (332313444313233).

The spelling of 100101222212232 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 1567 3134 4701 6268 8539 9402 12536 17078 18804 25617 34156 37608 51234 68312 102468 204936 311711 623422 935133 1246844 1870266 2493688 3740532 7481064 13380613 26761226 40141839 53522452 80283678 107044904 160567356 321134712 488451137 976902274 1465353411 1953804548 2661700229 2930706822 3907609096 5323400458 5861413644 7985100687 10646800916 11722827288 15970201374 21293601832 31940402748 63880805496 4170884258843 8341768517686 12512652776529 16683537035372 25025305553058 33367074070744 50050611106116 100101222212232