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242023211430 = 2357112136112011
BaseRepresentation
bin1110000101100110110…
…1010010000110100110
3212010201000101000022120
43201121231102012212
512431130420231210
6303103421210410
723325363232260
oct3413155220646
9763630330276
10242023211430
119370687aa00
123aaa5100a06
1319a905b4b60
14b9dd26ab30
1564678a6270
hex3859b521a6

242023211430 has 384 divisors, whose sum is σ = 798746876928. Its totient is φ = 45657216000.

The previous prime is 242023211387. The next prime is 242023211431. The reversal of 242023211430 is 34112320242.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 242023211430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242023211431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20144125 + ... + 20156135.

It is an arithmetic number, because the mean of its divisors is an integer number (2080069992).

Almost surely, 2242023211430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242023211430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399373438464).

242023211430 is an abundant number, since it is smaller than the sum of its proper divisors (556723665498).

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

242023211430 is a wasteful number, since it uses less digits than its factorization.

242023211430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12124 (or 12113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242023211430 its reverse (34112320242), we get a palindrome (276135531672).

The spelling of 242023211430 in words is "two hundred forty-two billion, twenty-three million, two hundred eleven thousand, four hundred thirty".