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123103000132112 = 247111318089424913
BaseRepresentation
bin11011111111011000100110…
…100101111111101000010000
3121010212112100201222011012102
4123333120212211333220100
5112113404421013211422
61113452423150415532
734633620050132510
oct3377304645775020
9533775321864172
10123103000132112
1136251764316710
12119822298015a8
13538c7421989c0
142258307625840
15e372d16a2192
hex6ff62697fa10

123103000132112 has 160 divisors (see below), whose sum is σ = 320258429648640. Its totient is φ = 44270255554560.

The previous prime is 123103000132111. The next prime is 123103000132157. The reversal of 123103000132112 is 211231000301321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (123103000132111) 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, 289500968 + ... + 289925880.

It is an arithmetic number, because the mean of its divisors is an integer number (2001615185304).

Almost surely, 2123103000132112 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 123103000132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160129214824320).

123103000132112 is an abundant number, since it is smaller than the sum of its proper divisors (197155429516528).

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

123103000132112 is a wasteful number, since it uses less digits than its factorization.

123103000132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443041 (or 443035 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123103000132112 its reverse (211231000301321), we get a palindrome (334334000433433).

The spelling of 123103000132112 in words is "one hundred twenty-three trillion, one hundred three billion, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016 18089 36178 72356 126623 144712 198979 235157 253246 289424 397958 424913 470314 506492 795916 849826 940628 1012984 1392853 1591832 1646099 1699652 1881256 2025968 2586727 2785706 2974391 3183664 3292198 3399304 3762512 4674043 5173454 5523869 5571412 5948782 6584396 6798608 9348086 10346908 11047738 11142824 11897564 13168792 18107089 18696172 20693816 22095476 22285648 23795128 26337584 32718301 36214178 37392344 38667083 41387632 44190952 47590256 60762559 65436602 72428356 74784688 77334166 88381904 121525118 130873204 144856712 154668332 243050236 261746408 289713424 309336664 425337913 486100472 523492816 618673328 850675826 972200944 1701351652 3402703304 6805406608 7686251257 15372502514 30745005028 53803758799 61490010056 84548763827 99921266341 107607517598 122980020112 169097527654 199842532682 215215035196 338195055308 399685065364 430430070392 591841346789 676390110616 699448864387 799370130728 860860140784 1099133929751 1183682693578 1352780221232 1398897728774 1598740261456 2198267859502 2367365387156 2797795457548 4396535719004 4734730774312 5595590915096 7693937508257 8793071438008 9469461548624 11191181830192 15387875016514 17586142876016 30775750033028 61551500066056 123103000132112