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100222102010212 = 227131033923681407
BaseRepresentation
bin10110110010011011000110…
…110010011111100101100100
3111010212010202121102122221221
4112302123012302133211210
5101114014331103311322
6553053221551350124
730052544055111640
oct2662330662374544
9433763677378857
10100222102010212
1129a2aa55888816
12b2a786b222344
1343bcb99482870
141aa6ac0429c20
15b8c0182c29c7
hex5b26c6c9f964

100222102010212 has 96 divisors (see below), whose sum is σ = 218014625267712. Its totient is φ = 39253302988416.

The previous prime is 100222102010201. The next prime is 100222102010213. The reversal of 100222102010212 is 212010201222001.

It is a happy number.

It is a super-2 number, since 2×1002221020102122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100222102010213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146740413 + ... + 147421819.

It is an arithmetic number, because the mean of its divisors is an integer number (2270985679872).

Almost surely, 2100222102010212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222102010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109007312633856).

100222102010212 is an abundant number, since it is smaller than the sum of its proper divisors (117792523257500).

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

100222102010212 is a wasteful number, since it uses less digits than its factorization.

100222102010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685457 (or 685455 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100222102010212 its reverse (212010201222001), we get a palindrome (312232303232213).

The spelling of 100222102010212 in words is "one hundred trillion, two hundred twenty-two billion, one hundred two million, ten thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 103 182 206 364 412 721 1339 1442 2678 2884 3923 5356 7846 9373 15692 18746 27461 37492 50999 54922 101998 109844 203996 356993 404069 681407 713986 808138 1362814 1427972 1616276 2725628 2828483 4769849 5252897 5656966 8858291 9539698 10505794 11313932 17716582 19079396 21011588 35433164 36770279 62008037 70184921 73540558 124016074 140369842 147081116 248032148 280739684 491294447 912403973 982588894 1824807946 1965177788 2673159661 3649615892 5346319322 6386827811 10692638644 12773655622 18712117627 25547311244 34751075593 37424235254 69502151186 74848470508 139004302372 243257529151 275335445083 486515058302 550670890166 973030116604 1101341780332 1927348115581 3579360786079 3854696231162 7158721572158 7709392462324 14317443144316 25055525502553 50111051005106 100222102010212