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131004031340 = 225721343239137
BaseRepresentation
bin111101000000001110…
…0101110000101101100
3110112010220012022200202
41322000130232011230
54121244013000330
6140103223013032
712315254615300
oct1720034560554
9415126168622
10131004031340
11506163a67a6
1221480b9a178
13c479bc3910
1464aa985d00
15361b08e445
hex1e8072e16c

131004031340 has 144 divisors (see below), whose sum is σ = 352657765152. Its totient is φ = 40496246784.

The previous prime is 131004031243. The next prime is 131004031369. The reversal of 131004031340 is 43130400131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 428252 + ... + 667388.

It is an arithmetic number, because the mean of its divisors is an integer number (2449012258).

Almost surely, 2131004031340 is an apocalyptic number.

131004031340 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 131004031340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176328882576).

131004031340 is an abundant number, since it is smaller than the sum of its proper divisors (221653733812).

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

131004031340 is a wasteful number, since it uses less digits than its factorization.

131004031340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239216 (or 239207 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131004031340 its reverse (43130400131), we get a palindrome (174134431471).

The spelling of 131004031340 in words is "one hundred thirty-one billion, four million, thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 43 49 52 65 70 86 91 98 130 140 172 182 196 215 245 260 301 364 430 455 490 559 602 637 860 910 980 1118 1204 1274 1505 1820 2107 2236 2548 2795 3010 3185 3913 4214 5590 6020 6370 7826 8428 10535 11180 12740 15652 19565 21070 27391 39130 42140 54782 78260 109564 136955 239137 273910 478274 547820 956548 1195685 1673959 2391370 3108781 3347918 4782740 6217562 6695836 8369795 10282891 11717713 12435124 15543905 16739590 20565782 21761467 23435426 31087810 33479180 41131564 43522934 46870852 51414455 58588565 62175620 71980237 87045868 102828910 108807335 117177130 133677583 143960474 152330269 205657820 217614670 234354260 267355166 287920948 304660538 359901185 435229340 503861659 534710332 609321076 668387915 719802370 761651345 935743081 1007723318 1336775830 1439604740 1523302690 1871486162 2015446636 2519308295 2673551660 3046605380 3742972324 4678715405 5038616590 6550201567 9357430810 10077233180 13100403134 18714861620 26200806268 32751007835 65502015670 131004031340