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220200010100112 = 243719125511345037
BaseRepresentation
bin110010000100010101001111…
…011000011010110110010000
31001212122220201022101101110210
4302010111033120122312100
5212330224110041200422
62100154253234124120
764244632345211010
oct6204251730326620
91055586638341423
10220200010100112
116418733310a989
12208442a1a20640
1395b3a059ba083
143c53a47431c40
151a6cd931e210c
hexc8454f61ad90

220200010100112 has 160 divisors (see below), whose sum is σ = 653774722596864. Its totient is φ = 62560314432000.

The previous prime is 220200010100111. The next prime is 220200010100137. The reversal of 220200010100112 is 211001010002022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (220200010100111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163040458 + ... + 164385494.

Almost surely, 2220200010100112 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 220200010100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326887361298432).

220200010100112 is an abundant number, since it is smaller than the sum of its proper divisors (433574712496752).

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

220200010100112 is a wasteful number, since it uses less digits than its factorization.

220200010100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347797 (or 1347791 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 220200010100112 its reverse (211001010002022), we get a palindrome (431201020102134).

The spelling of 220200010100112 in words is "two hundred twenty trillion, two hundred billion, ten million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 191 336 382 573 764 1146 1337 1528 2292 2551 2674 3056 4011 4584 5102 5348 7653 8022 9168 10204 10696 15306 16044 17857 20408 21392 30612 32088 35714 40816 53571 61224 64176 71428 107142 122448 142856 214284 285712 428568 487241 857136 974482 1345037 1461723 1948964 2690074 2923446 3410687 3897928 4035111 5380148 5846892 6821374 7795856 8070222 9415259 10232061 10760296 11693784 13642748 16140444 18830518 20464122 21520592 23387568 27285496 28245777 32280888 37661036 40928244 54570992 56491554 64561776 75322072 81856488 112983108 150644144 163712976 225966216 256902067 451932432 513804134 770706201 1027608268 1541412402 1798314469 2055216536 3082824804 3431189387 3596628938 4110433072 5394943407 6165649608 6862378774 7193257876 10293568161 10789886814 12331299216 13724757548 14386515752 20587136322 21579773628 24018325709 27449515096 28773031504 41174272644 43159547256 48036651418 54899030192 72054977127 82348545288 86319094512 96073302836 144109954254 164697090576 192146605672 288219908508 384293211344 576439817016 655357172917 1152879634032 1310714345834 1966071518751 2621428691668 3932143037502 4587500210419 5242857383336 7864286075004 9175000420838 10485714766672 13762500631257 15728572150008 18350000841676 27525001262514 31457144300016 36700001683352 55050002525028 73400003366704 110100005050056 220200010100112