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131403323221410 = 235315211217222841
BaseRepresentation
bin11101111000001010111000…
…011001110010010110100010
3122020021000221112020020000010
4131320022320121302112202
5114210403001221041120
61143245504152505350
736451401563240622
oct3570127031622642
9566230845206003
10131403323221410
113896192230a999
12128a2a170ab256
135842384811b56
142463d51caa882
15102d17e3467e0
hex7782b86725a2

131403323221410 has 128 divisors (see below), whose sum is σ = 326435448342528. Its totient is φ = 33817485312000.

The previous prime is 131403323221397. The next prime is 131403323221433. The reversal of 131403323221410 is 14122323304131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 589561590 + ... + 589784430.

It is an arithmetic number, because the mean of its divisors is an integer number (2550276940176).

Almost surely, 2131403323221410 is an apocalyptic number.

131403323221410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131403323221410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163217724171264).

131403323221410 is an abundant number, since it is smaller than the sum of its proper divisors (195032125121118).

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

131403323221410 is a wasteful number, since it uses less digits than its factorization.

131403323221410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224620.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 131403323221410 its reverse (14122323304131), we get a palindrome (145525646525541).

The spelling of 131403323221410 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred twenty-three million, two hundred twenty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 521 930 1042 1217 1563 2434 2605 3126 3651 5210 6085 7302 7815 12170 15630 16151 18255 32302 36510 37727 48453 75454 80755 96906 113181 161510 188635 222841 226362 242265 377270 445682 484530 565905 634057 668523 1114205 1131810 1268114 1337046 1902171 2228410 3170285 3342615 3804342 6340570 6685230 6908071 9510855 13816142 19021710 19655767 20724213 34540355 39311534 41448426 58967301 69080710 98278835 103621065 116100161 117934602 196557670 207242130 232200322 271197497 294836505 348300483 542394994 580500805 589673010 696600966 813592491 1161001610 1355987485 1627184982 1741502415 2711974970 3483004830 3599104991 4067962455 7198209982 8135924910 8407122407 10797314973 16814244814 17995524955 21594629946 25221367221 35991049910 42035612035 50442734442 53986574865 84071224070 107973149730 126106836105 141293895937 252213672210 282587791874 423881687811 706469479685 847763375622 1412938959370 2119408439055 4238816878110 4380110774047 8760221548094 13140332322141 21900553870235 26280664644282 43801107740470 65701661610705 131403323221410