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131011142021340 = 223572811110075767
BaseRepresentation
bin11101110010011101101000…
…100101001111000011011100
3122011212112122202010001010220
4131302131220211033003130
5114132441304324140330
61142345404320401340
736411146142112650
oct3562355045170334
9564775582101126
10131011142021340
1138820571243719
121283aa06476250
1358143b4012759
14244cd8a2c4a60
151022d790a4710
hex77276894f0dc

131011142021340 has 96 divisors (see below), whose sum is σ = 420727596678144. Its totient is φ = 29838836590080.

The previous prime is 131011142021299. The next prime is 131011142021363. The reversal of 131011142021340 is 43120241110131.

It is a self number, because there is not a number n which added to its sum of digits gives 131011142021340.

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, 554919864 + ... + 555155903.

It is an arithmetic number, because the mean of its divisors is an integer number (4382579132064).

Almost surely, 2131011142021340 is an apocalyptic number.

131011142021340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011142021340 is an abundant number, since it is smaller than the sum of its proper divisors (289716454656804).

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

131011142021340 is a wasteful number, since it uses less digits than its factorization.

131011142021340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110076067 (or 1110076065 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131011142021340 its reverse (43120241110131), we get a palindrome (174131383131471).

The spelling of 131011142021340 in words is "one hundred thirty-one trillion, eleven billion, one hundred forty-two million, twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 281 420 562 843 1124 1405 1686 1967 2810 3372 3934 4215 5620 5901 7868 8430 9835 11802 16860 19670 23604 29505 39340 59010 118020 1110075767 2220151534 3330227301 4440303068 5550378835 6660454602 7770530369 11100757670 13320909204 15541060738 16651136505 22201515340 23311591107 31082121476 33302273010 38852651845 46623182214 66604546020 77705303690 93246364428 116557955535 155410607380 233115911070 311931290527 466231822140 623862581054 935793871581 1247725162108 1559656452635 1871587743162 2183519033689 3119312905270 3743175486324 4367038067378 4678969357905 6238625810540 6550557101067 8734076134756 9357938715810 10917595168445 13101114202134 18715877431620 21835190336890 26202228404268 32752785505335 43670380673780 65505571010670 131011142021340