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131000031121340 = 2252913910931486649
BaseRepresentation
bin11101110010010011010010…
…010100100000111110111100
3122011211110222101222211201002
4131302103102110200332330
5114132301030431340330
61142340330011305432
736410303615036333
oct3562232224407674
9564743871884632
10131000031121340
113881688a44a037
121283882544b278
135813333129204
14244c6147c6d1a
15102292890ae45
hex7724d2520fbc

131000031121340 has 96 divisors (see below), whose sum is σ = 286896095640000. Its totient is φ = 50183147169792.

The previous prime is 131000031121339. The next prime is 131000031121361. The reversal of 131000031121340 is 43121130000131.

It is a super-2 number, since 2×1310000311213402 (a number of 29 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, 87374336 + ... + 88860984.

It is an arithmetic number, because the mean of its divisors is an integer number (2988500996250).

Almost surely, 2131000031121340 is an apocalyptic number.

131000031121340 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 131000031121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143448047820000).

131000031121340 is an abundant number, since it is smaller than the sum of its proper divisors (155896064518660).

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

131000031121340 is a wasteful number, since it uses less digits than its factorization.

131000031121340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487919 (or 1487917 counting only the distinct ones).

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

Adding to 131000031121340 its reverse (43121130000131), we get a palindrome (174121161121471).

The spelling of 131000031121340 in words is "one hundred thirty-one trillion, thirty-one million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 139 145 278 290 556 580 695 1093 1390 2186 2780 4031 4372 5465 8062 10930 16124 20155 21860 31697 40310 63394 80620 126788 151927 158485 303854 316970 607708 633940 759635 1486649 1519270 2973298 3038540 4405883 5946596 7433245 8811766 14866490 17623532 22029415 29732980 43112821 44058830 86225642 88117660 172451284 206644211 215564105 413288422 431128210 826576844 862256420 1033221055 1624907357 2066442110 3249814714 4132884220 5992682119 6499629428 8124536785 11985364238 16249073570 23970728476 29963410595 32498147140 47122313353 59926821190 94244626706 119853642380 188489253412 225862122623 235611566765 451724245246 471223133530 903448490492 942446267060 1129310613115 2258621226230 4517242452460 6550001556067 13100003112134 26200006224268 32750007780335 65500015560670 131000031121340