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42031302131000 = 23537132631756207
BaseRepresentation
bin10011000111010001011001…
…10101010011110100111000
312111211011010201020212120202
421203220230311103310320
521002120101321143000
6225220525202341332
711565442564214660
oct1143505465236470
9174734121225522
1042031302131000
1112435414332206
124869b4605a848
131a5b6c4bc6b30
14a5447c2cb1a0
154cd4e5cd4dd5
hex263a2cd53d38

42031302131000 has 256 divisors, whose sum is σ = 121510486056960. Its totient is φ = 13251627993600.

The previous prime is 42031302130981. The next prime is 42031302131017. The reversal of 42031302131000 is 13120313024.

42031302131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420313021310002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23054897 + ... + 24811103.

It is an arithmetic number, because the mean of its divisors is an integer number (474650336160).

Almost surely, 242031302131000 is an apocalyptic number.

42031302131000 is a gapful number since it is divisible by the number (40) 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 42031302131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60755243028480).

42031302131000 is an abundant number, since it is smaller than the sum of its proper divisors (79479183925960).

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

42031302131000 is a wasteful number, since it uses less digits than its factorization.

42031302131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756511 (or 1756497 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 42031302131000 its reverse (13120313024), we get a palindrome (42044422444024).

The spelling of 42031302131000 in words is "forty-two trillion, thirty-one billion, three hundred two million, one hundred thirty-one thousand".