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22011022202112 = 283234297278549
BaseRepresentation
bin1010000000100110101110…
…01010001101010100000000
32212221020021222112020102200
411000103113022031110000
510341112033140431422
6114451420215113200
74431146435502666
oct500232712152400
985836258466380
1022011022202112
117016905230469
122575a72972800
13c38827247298
145614a691ac36
1528285583b2ac
hex1404d728d500

22011022202112 has 108 divisors (see below), whose sum is σ = 63465281579700. Its totient is φ = 7336767135744.

The previous prime is 22011022202101. The next prime is 22011022202149. The reversal of 22011022202112 is 21120222011022.

It is a happy number.

22011022202112 is a `hidden beast` number, since 220 + 1 + 10 + 2 + 220 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16324056412416 + 5686965789696 = 4040304^2 + 2384736^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78881014 + ... + 79159562.

Almost surely, 222011022202112 is an apocalyptic number.

It is an amenable number.

22011022202112 is an abundant number, since it is smaller than the sum of its proper divisors (41454259377588).

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

22011022202112 is a wasteful number, since it uses less digits than its factorization.

22011022202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312868 (or 312851 counting only the distinct ones).

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

Adding to 22011022202112 its reverse (21120222011022), we get a palindrome (43131244213134).

The spelling of 22011022202112 in words is "twenty-two trillion, eleven billion, twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 34297 68594 102891 137188 205782 274376 278549 308673 411564 548752 557098 617346 823128 835647 1097504 1114196 1234692 1646256 1671294 2195008 2228392 2469384 2506941 3292512 3342588 4390016 4456784 4938768 5013882 6585024 6685176 8780032 8913568 9877536 10027764 13170048 13370352 17827136 19755072 20055528 26340096 26740704 35654272 39510144 40111056 53481408 71308544 79020288 80222112 106962816 160444224 213925632 320888448 641776896 9553395053 19106790106 28660185159 38213580212 57320370318 76427160424 85980555477 114640740636 152854320848 171961110954 229281481272 305708641696 343922221908 458562962544 611417283392 687844443816 917125925088 1222834566784 1375688887632 1834251850176 2445669133568 2751377775264 3668503700352 5502755550528 7337007400704 11005511101056 22011022202112