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22001201013312 = 2632145601262337
BaseRepresentation
bin1010000000010100011011…
…10001010110001001000000
32212220021221112020011011100
411000022031301112021000
510340431424424411222
6114443113501014400
74430351161665333
oct500121561261100
985807845204140
1022001201013312
117012725446a04
122573b91854400
13c37920605871
14560c1442261a
1528247d4ee4ac
hex14028dc56240

22001201013312 has 84 divisors (see below), whose sum is σ = 63063143772876. Its totient is φ = 7333655347200.

The previous prime is 22001201013287. The next prime is 22001201013353. The reversal of 22001201013312 is 21331010210022.

22001201013312 is a `hidden beast` number, since 2 + 200 + 120 + 10 + 1 + 331 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16532225888256 + 5468975125056 = 4065984^2 + 2338584^2 .

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

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, 83735008 + ... + 83997344.

Almost surely, 222001201013312 is an apocalyptic number.

It is an amenable number.

22001201013312 is an abundant number, since it is smaller than the sum of its proper divisors (41061942759564).

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

22001201013312 is a wasteful number, since it uses less digits than its factorization.

22001201013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407956 (or 407943 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22001201013312 its reverse (21331010210022), we get a palindrome (43332211223334).

The spelling of 22001201013312 in words is "twenty-two trillion, one billion, two hundred one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 145601 262337 291202 436803 524674 582404 787011 873606 1049348 1164808 1310409 1574022 1747212 2098696 2329616 2361033 2620818 3148044 3494424 4197392 4659232 4722066 5241636 6296088 6988848 8394784 9318464 9444132 10483272 12592176 13977696 16789568 18888264 20966544 25184352 27955392 37776528 41933088 50368704 75553056 83866176 151106112 38196529537 76393059074 114589588611 152786118148 229179177222 305572236296 343768765833 458358354444 611144472592 687537531666 916716708888 1222288945184 1375075063332 1833433417776 2444577890368 2750150126664 3666866835552 5500300253328 7333733671104 11000600506656 22001201013312