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100222331403340 = 22517218195798363
BaseRepresentation
bin10110110010011011010100…
…011101100011110001001100
3111010212011100121002001011201
4112302123110131203301030
5101114020313314401330
6553053300424155244
730052552541656366
oct2662332435436114
9433764317061151
10100222331403340
1129a30063317213
12b2a7914008b24
1343bcc04b5b843
141aa6b02a9dd36
15b8c02d4d5eca
hex5b26d4763c4c

100222331403340 has 72 divisors (see below), whose sum is σ = 224810787185712. Its totient is φ = 37522302428160.

The previous prime is 100222331403319. The next prime is 100222331403349. The reversal of 100222331403340 is 43304133222001.

It is a happy number.

It is a super-2 number, since 2×1002223314033402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100222331403299 and 100222331403308.

It is not an unprimeable number, because it can be changed into a prime (100222331403349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46853002 + ... + 48945361.

It is an arithmetic number, because the mean of its divisors is an integer number (3122372044246).

Almost surely, 2100222331403340 is an apocalyptic number.

100222331403340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100222331403340 is an abundant number, since it is smaller than the sum of its proper divisors (124588455782372).

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

100222331403340 is a wasteful number, since it uses less digits than its factorization.

100222331403340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95798587 (or 95798568 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 100222331403340 its reverse (43304133222001), we get a palindrome (143526464625341).

The spelling of 100222331403340 in words is "one hundred trillion, two hundred twenty-two billion, three hundred thirty-one million, four hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 181 289 340 362 578 724 905 1156 1445 1810 2890 3077 3620 5780 6154 12308 15385 30770 52309 61540 104618 209236 261545 523090 1046180 95798363 191596726 383193452 478991815 957983630 1628572171 1915967260 3257144342 6514288684 8142860855 16285721710 17339503703 27685726907 32571443420 34679007406 55371453814 69358014812 86697518515 110742907628 138428634535 173395037030 276857269070 294771562951 346790074060 553714538140 589543125902 1179086251804 1473857814755 2947715629510 5011116570167 5895431259020 10022233140334 20044466280668 25055582850835 50111165701670 100222331403340