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242522612101 = 71141210318191
BaseRepresentation
bin1110000111011101111…
…0010110000110000101
3212011222211002012020201
43201313132112012011
512433141242041401
6303225141130501
723343636122020
oct3416736260605
9764884065221
10242522612101
1193942768030
123b0043b9a31
1319b3cbba203
14ba497081b7
156496651b01
hex3877796185

242522612101 has 48 divisors (see below), whose sum is σ = 312946642944. Its totient is φ = 182569392000.

The previous prime is 242522612089. The next prime is 242522612107. The reversal of 242522612101 is 101216225242.

It is a happy number.

It is not a de Polignac number, because 242522612101 - 29 = 242522611589 is a prime.

It is a super-2 number, since 2×2425226121012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242522612101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242522612107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13322916 + ... + 13341106.

It is an arithmetic number, because the mean of its divisors is an integer number (6519721728).

Almost surely, 2242522612101 is an apocalyptic number.

It is an amenable number.

242522612101 is a deficient number, since it is larger than the sum of its proper divisors (70424030843).

242522612101 is a wasteful number, since it uses less digits than its factorization.

242522612101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18394 (or 18353 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 242522612101 its reverse (101216225242), we get a palindrome (343738837343).

The spelling of 242522612101 in words is "two hundred forty-two billion, five hundred twenty-two million, six hundred twelve thousand, one hundred one".

Divisors: 1 7 11 41 77 103 287 451 721 1133 1681 3157 4223 7931 11767 18191 18491 29561 46453 127337 129437 173143 200101 325171 745831 1212001 1400707 1873673 1904573 5220817 8204141 13115711 13332011 20610403 30579071 57428987 76820593 144272821 214053497 336369781 537744151 845026523 2354588467 3149644313 5915185661 22047510191 34646087443 242522612101