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42231341012130 = 233512723325121059
BaseRepresentation
bin10011001101000110000000…
…00101000101010010100010
312112112021110202200220222000
421212203000011011102202
521013404241244342010
6225452451002024430
711616053666520024
oct1146430005052242
9175467422626860
1042231341012130
111250223603a376
1248a08727a8116
131a745242aa49a
14a60017610014
154d38028897c0
hex2668c01454a2

42231341012130 has 256 divisors, whose sum is σ = 114450377932800. Its totient is φ = 11080214208000.

The previous prime is 42231341012117. The next prime is 42231341012143. The reversal of 42231341012130 is 3121014313224.

42231341012130 is a `hidden beast` number, since 4 + 2 + 2 + 31 + 3 + 410 + 1 + 213 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42231341012117) and next prime (42231341012143).

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

It is a junction number, because it is equal to n+sod(n) for n = 42231341012094 and 42231341012103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2005371541 + ... + 2005392599.

It is an arithmetic number, because the mean of its divisors is an integer number (447071788800).

Almost surely, 242231341012130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42231341012130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57225188966400).

42231341012130 is an abundant number, since it is smaller than the sum of its proper divisors (72219036920670).

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

42231341012130 is a wasteful number, since it uses less digits than its factorization.

42231341012130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21686 (or 21680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 42231341012130 its reverse (3121014313224), we get a palindrome (45352355325354).

The spelling of 42231341012130 in words is "forty-two trillion, two hundred thirty-one billion, three hundred forty-one million, twelve thousand, one hundred thirty".