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2102012211222 = 2327118893170539
BaseRepresentation
bin11110100101101001101…
…100001111000000010110
321102221122211211010002100
4132211221230033000112
5233414410111224342
64245352344422530
7304602551664420
oct36455154170026
97387584733070
102102012211222
11740505103a70
1229b473777a46
131232acc05331
1473a48c67810
1539a28bdce4c
hex1e969b0f016

2102012211222 has 96 divisors (see below), whose sum is σ = 5678834653440. Its totient is φ = 545912602560.

The previous prime is 2102012211163. The next prime is 2102012211223. The reversal of 2102012211222 is 2221122102012.

It is a happy number.

2102012211222 is a `hidden beast` number, since 21 + 0 + 201 + 221 + 1 + 222 = 666.

It is a super-2 number, since 2×21020122112222 (a number of 25 digits) contains 22 as substring.

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 = 2102012211195 and 2102012211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102012211223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12240429 + ... + 12410967.

It is an arithmetic number, because the mean of its divisors is an integer number (59154527640).

Almost surely, 22102012211222 is an apocalyptic number.

2102012211222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2102012211222 is an abundant number, since it is smaller than the sum of its proper divisors (3576822442218).

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

2102012211222 is a wasteful number, since it uses less digits than its factorization.

2102012211222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179458 (or 179455 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2102012211222 its reverse (2221122102012), we get a palindrome (4323134313234).

The spelling of 2102012211222 in words is "two trillion, one hundred two billion, twelve million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 8893 17786 26679 53358 62251 80037 97823 124502 160074 170539 186753 195646 293469 341078 373506 511617 560259 586938 684761 880407 1023234 1120518 1193773 1369522 1534851 1760814 1875929 2054283 2387546 3069702 3581319 3751858 4108566 5627787 6162849 7162638 10743957 11255574 12325698 13131503 16883361 21487914 26263006 33766722 39394509 78789018 118183527 236367054 1516603327 3033206654 4549809981 9099619962 10616223289 13649429943 16682636597 21232446578 27298859886 31848669867 33365273194 50047909791 63697339734 95546009601 100095819582 116778456179 150143729373 191092019202 233556912358 300287458746 350335368537 700670737074 1051006105611 2102012211222