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42031102413300 = 2235271113373782803
BaseRepresentation
bin10011000111010001000001…
…11011011100100111110100
312111211010121210110011101220
421203220200323130213310
521002114144204211200
6225220453305550340
711565434620514430
oct1143504073344764
9174733553404356
1042031102413300
1112435321622360
124869aab1a53b0
131a5b69270b190
14a5445d97d9c0
154cd4d34d44a0
hex263a20edc9f4

42031102413300 has 576 divisors, whose sum is σ = 167693577590784. Its totient is φ = 7844018227200.

The previous prime is 42031102413299. The next prime is 42031102413301. The reversal of 42031102413300 is 331420113024.

It is a happy number.

42031102413300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42031102413299) and next prime (42031102413301).

It is a super-2 number, since 2×420311024133002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42031102413301) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 9219699 + ... + 13002501.

Almost surely, 242031102413300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42031102413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83846788795392).

42031102413300 is an abundant number, since it is smaller than the sum of its proper divisors (125662475177484).

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

42031102413300 is a wasteful number, since it uses less digits than its factorization.

42031102413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782888 (or 3782881 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42031102413300 its reverse (331420113024), we get a palindrome (42362522526324).

The spelling of 42031102413300 in words is "forty-two trillion, thirty-one billion, one hundred two million, four hundred thirteen thousand, three hundred".