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131201443131402 = 237173140571461079
BaseRepresentation
bin11101110101001110110111…
…011010010111000000001010
3122012112201212011020001212110
4131311032313122113000022
5114144101023420201102
61143013035541523150
736430664032626630
oct3565166732270012
9565481764201773
10131201443131402
11388942462622a6
121286b875a134b6
135829320b405a7
142458280225350
151027cb5ce886c
hex7753b769700a

131201443131402 has 128 divisors (see below), whose sum is σ = 327853447741440. Its totient is φ = 34134522439680.

The previous prime is 131201443131391. The next prime is 131201443131443. The reversal of 131201443131402 is 204131344102131.

It is a self number, because there is not a number n which added to its sum of digits gives 131201443131402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89067099 + ... + 90528177.

It is an arithmetic number, because the mean of its divisors is an integer number (2561355060480).

Almost surely, 2131201443131402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131201443131402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163926723870720).

131201443131402 is an abundant number, since it is smaller than the sum of its proper divisors (196652004610038).

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

131201443131402 is a wasteful number, since it uses less digits than its factorization.

131201443131402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465196.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131201443131402 its reverse (204131344102131), we get a palindrome (335332787233533).

The spelling of 131201443131402 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred forty-three million, one hundred thirty-one thousand, four hundred two".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 527 651 714 1054 1302 1581 3162 3689 4057 7378 8114 11067 12171 22134 24342 28399 56798 68969 85197 125767 137938 170394 206907 251534 377301 413814 482783 754602 880369 965566 1448349 1461079 1760738 2138039 2641107 2896698 2922158 4276078 4383237 5282214 6414117 8766474 10227553 12828234 14966273 20455106 24838343 29932546 30682659 44898819 45293449 49676686 61365318 74515029 89797638 90586898 135880347 149030058 173868401 271760694 317054143 347736802 521605203 634108286 769988633 951162429 1043210406 1539977266 1902324858 2309965899 4619931798 5389920431 5927597503 10779840862 11855195006 16169761293 17782792509 32339522586 35565585018 41493182521 82986365042 100769157551 124479547563 183755522593 201538315102 248959095126 302307472653 367511045186 551266567779 604614945306 705384102857 1102533135558 1286288658151 1410768205714 2116152308571 2572577316302 3123843884081 3858865974453 4232304617142 6247687768162 7717731948906 9371531652243 18743063304486 21866907188567 43733814377134 65600721565701 131201443131402