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100222212000222 = 2341323979220867
BaseRepresentation
bin10110110010011011001101…
…010110000100100111011110
3111010212011001021101201220000
4112302123031112010213132
5101114020042233001342
6553053240521035130
730052546562032344
oct2662331526044736
9433764037351800
10100222212000222
1129a30001982954
12b2a78a0025aa6
1343bcbb61b3500
141aa6ad0c9b994
15b8c022c9c44c
hex5b26cd5849de

100222212000222 has 120 divisors (see below), whose sum is σ = 243788150068056. Its totient is φ = 30759923772864.

The previous prime is 100222212000203. The next prime is 100222212000227. The reversal of 100222212000222 is 222000212222001.

100222212000222 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 221 + 200 + 0 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100222212000195 and 100222212000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222212000227) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6258633 + ... + 15479499.

Almost surely, 2100222212000222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100222212000222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121894075034028).

100222212000222 is an abundant number, since it is smaller than the sum of its proper divisors (143565938067834).

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

100222212000222 is a wasteful number, since it uses less digits than its factorization.

100222212000222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9221304 (or 9221282 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100222212000222 its reverse (222000212222001), we get a palindrome (322222424222223).

The spelling of 100222212000222 in words is "one hundred trillion, two hundred twenty-two billion, two hundred twelve million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 338 351 397 507 702 794 1014 1053 1191 1521 2106 2382 3042 3573 4563 5161 7146 9126 10322 10719 13689 15483 21438 27378 30966 32157 46449 64314 67093 92898 134186 139347 201279 278694 402558 418041 603837 836082 1207674 1811511 3623022 5434533 9220867 10869066 18441734 27662601 55325202 82987803 119871271 165975606 239742542 248963409 359613813 497926818 719227626 746890227 1078841439 1493780454 1558326523 2157682878 3116653046 3236524317 3660684199 4674979569 6473048634 7321368398 9349959138 9709572951 10982052597 14024938707 19419145902 21964105194 28049877414 32946157791 42074816121 47588894587 65892315582 84149632242 95177789174 98838473373 126224448363 142766683761 197676946746 252448896726 285533367522 296515420119 428300051283 593030840238 618655629631 856600102566 1237311259262 1284900153849 1855966888893 2569800307698 3711933777786 3854700461547 5567900666679 7709400923094 11135801333358 16703702000037 33407404000074 50111106000111 100222212000222