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2131011300132 = 223211131420729137
BaseRepresentation
bin11111000000101010001…
…010111110101100100100
321112201111211201110120100
4133000222022332230210
5234403302343101012
64310550103504100
7306650306116221
oct37005212765444
97481454643510
102131011300132
11751836361750
122a5007458030
13125c51b01640
14751da3a8948
153a674a058dc
hex1f02a2beb24

2131011300132 has 144 divisors (see below), whose sum is σ = 6329120458752. Its totient is φ = 596024663040.

The previous prime is 2131011300127. The next prime is 2131011300133. The reversal of 2131011300132 is 2310031101312.

2131011300132 is a `hidden beast` number, since 21 + 310 + 1 + 1 + 300 + 1 + 32 = 666.

It is a super-2 number, since 2×21310113001322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2131011300133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73123068 + ... + 73152204.

It is an arithmetic number, because the mean of its divisors is an integer number (43952225408).

Almost surely, 22131011300132 is an apocalyptic number.

2131011300132 is a gapful number since it is divisible by the number (22) 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 2131011300132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164560229376).

2131011300132 is an abundant number, since it is smaller than the sum of its proper divisors (4198109158620).

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

2131011300132 is a wasteful number, since it uses less digits than its factorization.

2131011300132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43378 (or 43373 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2131011300132 its reverse (2310031101312), we get a palindrome (4441042401444).

The spelling of 2131011300132 in words is "two trillion, one hundred thirty-one billion, eleven million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2574 5148 14207 28414 29137 42621 56828 58274 85242 87411 116548 127863 156277 170484 174822 184691 255726 262233 312554 320507 349644 369382 378781 468831 511452 524466 554073 625108 641014 738764 757562 937662 961521 1048932 1108146 1136343 1282028 1406493 1515124 1662219 1875324 1923042 2031601 2216292 2272686 2812986 2884563 3324438 3409029 3846084 4063202 4166591 4545372 5625972 5769126 6094803 6648876 6818058 8126404 8333182 11538252 12189606 12499773 13636116 16666364 18284409 24379212 24999546 36568818 37499319 49999092 73137636 74998638 149997276 413949359 827898718 1241848077 1655797436 2483696154 3725544231 4553442949 4967392308 5381341667 7451088462 9106885898 10762683334 13660328847 14902176924 16144025001 18213771796 21525366668 27320657694 32288050002 40980986541 48432075003 54641315388 59194758337 64576100004 81961973082 96864150006 118389516674 163923946164 177584275011 193728300012 236779033348 355168550022 532752825033 710337100044 1065505650066 2131011300132