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100022021200212 = 223233743227780407
BaseRepresentation
bin10110101111100000110001…
…000010110001100101010100
3111010011000022122002101222120
4112233200301002301211110
5101102230044411401322
6552421252053255540
730032231633226156
oct2657406102614524
9433130278071876
10100022021200212
11299631124428a1
12b274b306345b0
1343a70614ab727
141a9b13d710ad6
15b86c07bd9a5c
hex5af8310b1954

100022021200212 has 96 divisors (see below), whose sum is σ = 255930421942272. Its totient is φ = 30307549700736.

The previous prime is 100022021200183. The next prime is 100022021200243. The reversal of 100022021200212 is 212002120220001.

It is a junction number, because it is equal to n+sod(n) for n = 100022021200191 and 100022021200200.

It is a congruent number.

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, 113451088 + ... + 114329319.

It is an arithmetic number, because the mean of its divisors is an integer number (2665941895232).

Almost surely, 2100022021200212 is an apocalyptic number.

100022021200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100022021200212 is an abundant number, since it is smaller than the sum of its proper divisors (155908400742060).

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

100022021200212 is a wasteful number, since it uses less digits than its factorization.

100022021200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227780517 (or 227780515 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100022021200212 its reverse (212002120220001), we get a palindrome (312024141420213).

The spelling of 100022021200212 in words is "one hundred trillion, twenty-two billion, twenty-one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 37 43 46 69 74 86 92 111 129 138 148 172 222 258 276 444 516 851 989 1591 1702 1978 2553 2967 3182 3404 3956 4773 5106 5934 6364 9546 10212 11868 19092 36593 73186 109779 146372 219558 439116 227780407 455560814 683341221 911121628 1366682442 2733364884 5238949361 8427875059 9794557501 10477898722 15716848083 16855750118 19589115002 20955797444 25283625177 29383672503 31433696166 33711500236 39178230004 50567250354 58767345006 62867392332 101134500708 117534690012 193841126357 225274822523 362398627537 387682252714 450549645046 581523379071 675824467569 724797255074 775364505428 901099290092 1087195882611 1163046758142 1351648935138 1449594510148 2174391765222 2326093516284 2703297870276 4348783530444 8335168433351 16670336866702 25005505300053 33340673733404 50011010600106 100022021200212