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22113112304412 = 22324366170130829
BaseRepresentation
bin1010000011100100111000…
…01101000010101100011100
32220021222210211001210000200
411001302130031002230130
510344300123222220122
6115010342404223500
74441422352163133
oct501623415025434
986258724053020
1022113112304412
117056133454338
12259180469ab90
13c45346a8a73c
145663cd3ac91a
1528532d2d55ac
hex141c9c342b1c

22113112304412 has 144 divisors (see below), whose sum is σ = 57367073443680. Its totient is φ = 7178238144000.

The previous prime is 22113112304401. The next prime is 22113112304417. The reversal of 22113112304412 is 21440321131122.

22113112304412 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 3 + 11 + 230 + 4 + 412 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113112304417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717267414 + ... + 717298242.

It is an arithmetic number, because the mean of its divisors is an integer number (398382454470).

Almost surely, 222113112304412 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 22113112304412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28683536721840).

22113112304412 is an abundant number, since it is smaller than the sum of its proper divisors (35253961139268).

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

22113112304412 is a wasteful number, since it uses less digits than its factorization.

22113112304412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32244 (or 32239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 22113112304412 its reverse (21440321131122), we get a palindrome (43553433435534).

The spelling of 22113112304412 in words is "twenty-two trillion, one hundred thirteen billion, one hundred twelve million, three hundred four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 661 701 774 1322 1402 1548 1983 2103 2644 2804 3966 4206 5949 6309 7932 8412 11898 12618 23796 25236 28423 30143 30829 56846 60286 61658 85269 90429 92487 113692 120572 123316 170538 180858 184974 255807 271287 277461 341076 361716 369948 463361 511614 542574 554922 926722 1023228 1085148 1109844 1325647 1390083 1853444 2651294 2780166 3976941 4170249 5302588 5560332 7953882 8340498 11930823 15907764 16680996 19924523 20377969 21611129 23861646 39849046 40755938 43222258 47723292 59773569 61133907 64833387 79698092 81511876 86444516 119547138 122267814 129666774 179320707 183401721 194500161 239094276 244535628 259333548 358641414 366803442 389000322 717282828 733606884 778000644 876252667 929278547 1752505334 1858557094 2628758001 2787835641 3505010668 3717114188 5257516002 5575671282 7886274003 8363506923 10515032004 11151342564 14284956269 15772548006 16727013846 28569912538 31545096012 33454027692 42854868807 57139825076 85709737614 128564606421 171419475228 257129212842 514258425684 614253119567 1228506239134 1842759358701 2457012478268 3685518717402 5528278076103 7371037434804 11056556152206 22113112304412