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22001021210112 = 293711511777781
BaseRepresentation
bin1010000000010100000110…
…00011011100111000000000
32212220021110222220012112120
411000022003003130320000
510340431042412210422
6114443043555124240
74430343546456630
oct500120303347000
985807428805476
1022001021210112
1170126429a911a
122573b415a3680
13c378c22a0439
14560bd85ba6c0
1528246c83445c
hex1402830dce00

22001021210112 has 160 divisors (see below), whose sum is σ = 67043487227904. Its totient is φ = 6280541184000.

The previous prime is 22001021210023. The next prime is 22001021210237. The reversal of 22001021210112 is 21101212010022.

It is a super-3 number, since 3×220010212101123 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22001021210091 and 22001021210100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11486662 + ... + 13264442.

Almost surely, 222001021210112 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 22001021210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33521743613952).

22001021210112 is an abundant number, since it is smaller than the sum of its proper divisors (45042466017792).

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

22001021210112 is a wasteful number, since it uses less digits than its factorization.

22001021210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778960 (or 1778944 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22001021210112 its reverse (21101212010022), we get a palindrome (43102233220134).

The spelling of 22001021210112 in words is "twenty-two trillion, one billion, twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1151 1344 1536 1792 2302 2688 3453 3584 4604 5376 6906 8057 9208 10752 13812 16114 18416 24171 27624 32228 36832 48342 55248 64456 73664 96684 110496 128912 147328 193368 220992 257824 294656 386736 441984 515648 589312 773472 883968 1031296 1546944 1767936 1777781 2062592 3093888 3555562 4125184 5333343 6187776 7111124 10666686 12375552 12444467 14222248 21333372 24888934 28444496 37333401 42666744 49777868 56888992 74666802 85333488 99555736 113777984 149333604 170666976 199111472 227555968 298667208 341333952 398222944 455111936 597334416 682667904 796445888 910223872 1194668832 1365335808 1592891776 2046225931 2389337664 2730671616 3185783552 4092451862 4778675328 6138677793 6371567104 8184903724 9557350656 12277355586 14323581517 16369807448 19114701312 24554711172 28647163034 32739614896 42970744551 49109422344 57294326068 65479229792 85941489102 98218844688 114588652136 130958459584 171882978204 196437689376 229177304272 261916919168 343765956408 392875378752 458354608544 523833838336 687531912816 785750757504 916709217088 1047667676672 1375063825632 1571501515008 1833418434176 2750127651264 3143003030016 3666836868352 5500255302528 7333673736704 11000510605056 22001021210112