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131000040133340 = 22572575558965497
BaseRepresentation
bin11101110010010011010010…
…110110111001001011011100
3122011211111000000221200211212
4131302103102312321023130
5114132301040233231330
61142340330532403552
736410304054452360
oct3562232266711334
9564744000850755
10131000040133340
1138816894544974
12128388284765b8
135813334c63161
14244c615a912a0
1510229295db295
hex7724d2db92dc

131000040133340 has 96 divisors (see below), whose sum is σ = 315633939788160. Its totient is φ = 44738047770624.

The previous prime is 131000040133327. The next prime is 131000040133387. The reversal of 131000040133340 is 43331040000131.

It is a super-2 number, since 2×1310000401333402 (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, 2000059472 + ... + 2000124968.

It is an arithmetic number, because the mean of its divisors is an integer number (3287853539460).

Almost surely, 2131000040133340 is an apocalyptic number.

131000040133340 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 131000040133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157816969894080).

131000040133340 is an abundant number, since it is smaller than the sum of its proper divisors (184633899654820).

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

131000040133340 is a wasteful number, since it uses less digits than its factorization.

131000040133340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121359 (or 121357 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 131000040133340 its reverse (43331040000131), we get a palindrome (174331080133471).

The spelling of 131000040133340 in words is "one hundred thirty-one trillion, forty million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 257 514 1028 1285 1799 2570 3598 5140 7196 8995 17990 35980 55589 65497 111178 130994 222356 261988 277945 327485 389123 458479 555890 654970 778246 916958 1111780 1309940 1556492 1833916 1945615 2292395 3891230 4584790 7782460 9169580 14286373 16832729 28572746 33665458 57145492 67330916 71431865 84163645 100004611 117829103 142863730 168327290 200009222 235658206 285727460 336654580 400018444 471316412 500023055 589145515 1000046110 1178291030 2000092220 2356582060 3640912733 7281825466 14563650932 18204563665 25486389131 36409127330 50972778262 72818254660 101945556524 127431945655 254863891310 509727782620 935714572381 1871429144762 3742858289524 4678572861905 6550002006667 9357145723810 13100004013334 18714291447620 26200008026668 32750010033335 65500020066670 131000040133340