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2130012202320 = 2432537471701179
BaseRepresentation
bin11110111111101110100…
…111101110010101010000
321112121221012202001000200
4132333232213232111100
5234344231110433240
64310303013415200
7306613454663502
oct36775647562520
97477835661020
102130012202320
117513733a4782
122a498893a500
13125b22b1bcc2
1475143813d72
153a616e51930
hex1efee9ee550

2130012202320 has 240 divisors, whose sum is σ = 7502938709760. Its totient is φ = 540892947456.

The previous prime is 2130012202309. The next prime is 2130012202337. The reversal of 2130012202320 is 232022100312.

2130012202320 is a `hidden beast` number, since 2 + 130 + 0 + 12 + 202 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21300122023202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2130012202293 and 2130012202302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401491 + ... + 2102669.

It is an arithmetic number, because the mean of its divisors is an integer number (31262244624).

Almost surely, 22130012202320 is an apocalyptic number.

2130012202320 is a gapful number since it is divisible by the number (20) 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 2130012202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751469354880).

2130012202320 is an abundant number, since it is smaller than the sum of its proper divisors (5372926507440).

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

2130012202320 is a wasteful number, since it uses less digits than its factorization.

2130012202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701282 (or 1701273 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2130012202320 its reverse (232022100312), we get a palindrome (2362034302632).

It can be divided in two parts, 2130012 and 202320, that added together give a palindrome (2332332).

The spelling of 2130012202320 in words is "two trillion, one hundred thirty billion, twelve million, two hundred two thousand, three hundred twenty".