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131123121231000 = 23353291507162313
BaseRepresentation
bin11101110100000101111011…
…000100000001010010011000
3122012021020200202202021202110
4131310011323010001102120
5114141310123013343000
61142513044051432320
736422222115514653
oct3564057304012230
9565236622667673
10131123121231000
1138864004620298
1212858657bb56a0
135821b1b587922
1424545702b089a
151025c2ed04850
hex77417b101498

131123121231000 has 128 divisors (see below), whose sum is σ = 423211177771200. Its totient is φ = 33760435788800.

The previous prime is 131123121230987. The next prime is 131123121231079. The reversal of 131123121231000 is 132121321131.

It is a super-2 number, since 2×1311231212310002 (a number of 29 digits) contains 22 as substring.

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, 753494157 + ... + 753668156.

Almost surely, 2131123121231000 is an apocalyptic number.

131123121231000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131123121231000 is an abundant number, since it is smaller than the sum of its proper divisors (292088056540200).

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

131123121231000 is a wasteful number, since it uses less digits than its factorization.

131123121231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507162366 (or 1507162352 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131123121231000 its reverse (132121321131), we get a palindrome (131255242552131).

The spelling of 131123121231000 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, one hundred twenty-one million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 87000 1507162313 3014324626 4521486939 6028649252 7535811565 9042973878 12057298504 15071623130 18085947756 22607434695 30143246260 36171895512 37679057825 43707707077 45214869390 60286492520 75358115650 87415414154 90429738780 113037173475 131123121231 150716231300 174830828308 180859477560 188395289125 218538535385 226074346950 262246242462 301432462600 349661656616 376790578250 437077070770 452148693900 524492484924 565185867375 655615606155 753581156500 874154141540 904297387800 1048984969848 1092692676925 1130371734750 1311231212310 1507162313000 1748308283080 2185385353850 2260743469500 2622462424620 3278078030775 4370770707700 4521486939000 5244924849240 5463463384625 6556156061550 8741541415400 10926926769250 13112312123100 16390390153875 21853853538500 26224624246200 32780780307750 43707707077000 65561560615500 131123121231000