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131402402321520 = 243511237534195507
BaseRepresentation
bin11101111000001010000001…
…100000110101010001110000
3122020020221120100101122211210
4131320022001200311101300
5114210344104443242040
61143245232534440120
736451340011564401
oct3570120140652160
9566227510348753
10131402402321520
113896149a503200
12128a27ba803040
135842268aab585
142463ca586d9a8
15102d12858c480
hex778281835470

131402402321520 has 960 divisors, whose sum is σ = 469726600573440. Its totient is φ = 30331297751040.

The previous prime is 131402402321507. The next prime is 131402402321569. The reversal of 131402402321520 is 25123204204131.

It is a happy number.

It is a super-2 number, since 2×1314024023215202 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23860974607 + ... + 23860980113.

It is an arithmetic number, because the mean of its divisors is an integer number (489298542264).

Almost surely, 2131402402321520 is an apocalyptic number.

131402402321520 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 131402402321520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234863300286720).

131402402321520 is an abundant number, since it is smaller than the sum of its proper divisors (338324198251920).

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

131402402321520 is a wasteful number, since it uses less digits than its factorization.

131402402321520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 131402402321520 its reverse (25123204204131), we get a palindrome (156525606525651).

The spelling of 131402402321520 in words is "one hundred thirty-one trillion, four hundred two billion, four hundred two million, three hundred twenty-one thousand, five hundred twenty".