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242201004102 = 232731071722649
BaseRepresentation
bin1110000110010001001…
…1100000100001000110
3212011011101220211000100
43201210103200201012
512432011424112402
6303133212024530
723332652365251
oct3414423404106
9764141824010
10242201004102
11937981751a2
123ab34762146
1319abb395115
14ba18b0c098
1564782c571c
hex38644e0846

242201004102 has 48 divisors (see below), whose sum is σ = 536929333200. Its totient is φ = 78883497216.

The previous prime is 242201004049. The next prime is 242201004109. The reversal of 242201004102 is 201400102242.

242201004102 is a `hidden beast` number, since 24 + 220 + 10 + 0 + 410 + 2 = 666.

It is a super-2 number, since 2×2422010041022 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242201004109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720727 + ... + 1001922.

It is an arithmetic number, because the mean of its divisors is an integer number (11186027775).

Almost surely, 2242201004102 is an apocalyptic number.

242201004102 is an abundant number, since it is smaller than the sum of its proper divisors (294728329098).

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

242201004102 is a wasteful number, since it uses less digits than its factorization.

242201004102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722837 (or 1722834 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 242201004102 its reverse (201400102242), we get a palindrome (443601106344).

The spelling of 242201004102 in words is "two hundred forty-two billion, two hundred one million, four thousand, one hundred two".

Divisors: 1 2 3 6 9 18 73 107 146 214 219 321 438 642 657 963 1314 1926 7811 15622 23433 46866 70299 140598 1722649 3445298 5167947 10335894 15503841 31007682 125753377 184323443 251506754 368646886 377260131 552970329 754520262 1105940658 1131780393 1658910987 2263560786 3317821974 13455611339 26911222678 40366834017 80733668034 121100502051 242201004102