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131201203241040 = 24352332346230387
BaseRepresentation
bin11101110101001110101001…
…000111010000000001010000
3122012112201020102211101011020
4131311032221013100001100
5114144100031012203130
61143013000052115440
736430655060612052
oct3565165107200120
9565481212741136
10131201203241040
11388941329040a9
121286b809605b80
1358292b322a62a
14245825a41b8d2
151027c9ec0ee10
hex7753a91d0050

131201203241040 has 80 divisors (see below), whose sum is σ = 408469325629248. Its totient is φ = 34836828771328.

The previous prime is 131201203241027. The next prime is 131201203241047. The reversal of 131201203241040 is 40142302102131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131201203241040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201203241047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173059274 + ... + 1173171113.

Almost surely, 2131201203241040 is an apocalyptic number.

131201203241040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201203241040 is an abundant number, since it is smaller than the sum of its proper divisors (277268122388208).

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

131201203241040 is a wasteful number, since it uses less digits than its factorization.

131201203241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346230636 (or 2346230630 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131201203241040 its reverse (40142302102131), we get a palindrome (171343505343171).

The spelling of 131201203241040 in words is "one hundred thirty-one trillion, two hundred one billion, two hundred three million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 233 240 466 699 932 1165 1398 1864 2330 2796 3495 3728 4660 5592 6990 9320 11184 13980 18640 27960 55920 2346230387 4692460774 7038691161 9384921548 11731151935 14077382322 18769843096 23462303870 28154764644 35193455805 37539686192 46924607740 56309529288 70386911610 93849215480 112619058576 140773823220 187698430960 281547646440 546671680171 563095292880 1093343360342 1640015040513 2186686720684 2733358400855 3280030081026 4373373441368 5466716801710 6560060162052 8200075202565 8746746882736 10933433603420 13120120324104 16400150405130 21866867206840 26240240648208 32800300810260 43733734413680 65600601620520 131201203241040