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131133213222300 = 2234522937119312647
BaseRepresentation
bin11101110100001111010100…
…100101111010010110011100
3122012022012202002121120020000
4131310033110211322112130
5114141441310041103200
61142521433322054300
736423030161155062
oct3564172445722634
9565265662546200
10131133213222300
1138868313256773
121285a5b394a390
135822a69343503
142454c4a73c032
151026120cd4300
hex7743d497a59c

131133213222300 has 720 divisors, whose sum is σ = 452039243261760. Its totient is φ = 32820388392960.

The previous prime is 131133213222233. The next prime is 131133213222307. The reversal of 131133213222300 is 3222312331131.

131133213222300 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 32 + 1 + 322 + 2 + 300 = 666.

It is a super-2 number, since 2×1311332132223002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133213222307) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10368714577 + ... + 10368727223.

It is an arithmetic number, because the mean of its divisors is an integer number (627832282308).

Almost surely, 2131133213222300 is an apocalyptic number.

131133213222300 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 131133213222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226019621630880).

131133213222300 is an abundant number, since it is smaller than the sum of its proper divisors (320906030039460).

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

131133213222300 is a wasteful number, since it uses less digits than its factorization.

131133213222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13932 (or 13916 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131133213222300 its reverse (3222312331131), we get a palindrome (134355525553431).

The spelling of 131133213222300 in words is "one hundred thirty-one trillion, one hundred thirty-three billion, two hundred thirteen million, two hundred twenty-two thousand, three hundred".