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2100424131432 = 23321143460313399
BaseRepresentation
bin11110100100001011000…
…010001100001101101000
321102210120011120022011100
4132210023002030031220
5233403132034201212
64244531014401400
7304515316352244
oct36441302141550
97383504508140
102100424131432
1173a86a734130
1229b0ab960260
131230b8bb4153
1473937d97424
1539984595bdc
hex1e90b08c368

2100424131432 has 192 divisors, whose sum is σ = 6351973056000. Its totient is φ = 621508567680.

The previous prime is 2100424131427. The next prime is 2100424131457. The reversal of 2100424131432 is 2341314240012.

2100424131432 is a `hidden beast` number, since 2 + 100 + 4 + 2 + 413 + 143 + 2 = 666.

It is a super-2 number, since 2×21004241314322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100424131396 and 2100424131405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156753069 + ... + 156766467.

It is an arithmetic number, because the mean of its divisors is an integer number (33083193000).

Almost surely, 22100424131432 is an apocalyptic number.

2100424131432 is a gapful number since it is divisible by the number (22) 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 2100424131432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175986528000).

2100424131432 is an abundant number, since it is smaller than the sum of its proper divisors (4251548924568).

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

2100424131432 is a wasteful number, since it uses less digits than its factorization.

2100424131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18068 (or 18061 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2100424131432 its reverse (2341314240012), we get a palindrome (4441738371444).

The spelling of 2100424131432 in words is "two trillion, one hundred billion, four hundred twenty-four million, one hundred thirty-one thousand, four hundred thirty-two".