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13112123123000 = 2353111453382021
BaseRepresentation
bin1011111011001110011101…
…1100001110010100111000
31201102111200101221022212202
42332303213130032110320
53204312112004414000
643515343132125332
72522214430412666
oct276634734162470
951374611838782
1013112123123000
1141a5902741610
121579273606848
13741610caac05
143348b7193c36
1517b122d62dd5
hexbece770e538

13112123123000 has 128 divisors (see below), whose sum is σ = 33474385563840. Its totient is φ = 4767658560000.

The previous prime is 13112123122979. The next prime is 13112123123017. The reversal of 13112123123000 is 32132121131.

It is a happy number.

It is a super-2 number, since 2×131121231230002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159821990 + ... + 159904010.

Almost surely, 213112123123000 is an apocalyptic number.

13112123123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13112123123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16737192781920).

13112123123000 is an abundant number, since it is smaller than the sum of its proper divisors (20362262440840).

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

13112123123000 is a wasteful number, since it uses less digits than its factorization.

13112123123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96586 (or 96572 counting only the distinct ones).

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

Adding to 13112123123000 its reverse (32132121131), we get a palindrome (13144255244131).

The spelling of 13112123123000 in words is "thirteen trillion, one hundred twelve billion, one hundred twenty-three million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 14533 29066 58132 72665 82021 116264 145330 159863 164042 290660 319726 328084 363325 410105 581320 639452 656168 726650 799315 820210 902231 1278904 1453300 1598630 1640420 1804462 1816625 2050525 2906600 3197260 3280840 3608924 3633250 3996575 4101050 4511155 6394520 7217848 7266500 7993150 8202100 9022310 10252625 14533000 15986300 16404200 18044620 19982875 20505250 22555775 31972600 36089240 39965750 41010500 45111550 79931500 82021000 90223100 112778875 159863000 180446200 225557750 451115500 902231000 1192011193 2384022386 4768044772 5960055965 9536089544 11920111930 13112123123 23840223860 26224246246 29800279825 47680447720 52448492492 59600559650 65560615615 104896984984 119201119300 131121231230 149001399125 238402238600 262242462460 298002798250 327803078075 524484924920 596005596500 655606156150 1192011193000 1311212312300 1639015390375 2622424624600 3278030780750 6556061561500 13112123123000