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242211112242 = 231124115227657
BaseRepresentation
bin1110000110010011101…
…0000100010100110010
3212011012002221100202220
43201210322010110302
512432022021042432
6303134212421510
723333134325121
oct3414472042462
9764162840686
10242211112242
11937a2949630
123ab38017896
1319ac04c3c78
14ba1a1bdab8
15647912072c
hex3864e84532

242211112242 has 32 divisors (see below), whose sum is σ = 530653425984. Its totient is φ = 73092748800.

The previous prime is 242211112217. The next prime is 242211112243.

242211112242 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (242211112243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7597923 + ... + 7629734.

It is an arithmetic number, because the mean of its divisors is an integer number (16582919562).

Almost surely, 2242211112242 is an apocalyptic number.

242211112242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242211112242 is an abundant number, since it is smaller than the sum of its proper divisors (288442313742).

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

242211112242 is a wasteful number, since it uses less digits than its factorization.

242211112242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15227914.

The product of its digits is 1024, while the sum is 24.

It can be divided in two parts, 242211 and 112242, that added together give a palindrome (354453).

The spelling of 242211112242 in words is "two hundred forty-two billion, two hundred eleven million, one hundred twelve thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 241 482 723 1446 2651 5302 7953 15906 15227657 30455314 45682971 91365942 167504227 335008454 502512681 1005025362 3669865337 7339730674 11009596011 22019192022 40368518707 80737037414 121105556121 242211112242