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101101242 = 231119372179
BaseRepresentation
bin1100000011010…
…10111010111010
321001020110211110
412001222322322
5201340214432
614010541150
72335226544
oct601527272
9231213743
10101101242
1152083950
1229a377b6
1317c3ab28
14d5da694
158d20dcc
hex606aeba

101101242 has 64 divisors (see below), whose sum is σ = 238579200. Its totient is φ = 28226880.

The previous prime is 101101237. The next prime is 101101243. The reversal of 101101242 is 242101101.

It is a happy number.

It is a super-2 number, since 2×1011012422 = 20442922267885128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101101243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45309 + ... + 47487.

It is an arithmetic number, because the mean of its divisors is an integer number (3727800).

Almost surely, 2101101242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119289600).

101101242 is an abundant number, since it is smaller than the sum of its proper divisors (137477958).

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

101101242 is a wasteful number, since it uses less digits than its factorization.

101101242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 101101242 is about 10054.9113372521. The cubic root of 101101242 is about 465.8565044127.

Adding to 101101242 its reverse (242101101), we get a palindrome (343202343).

It can be divided in two parts, 101101 and 242, that multiplied together give a palindrome (24466442).

The spelling of 101101242 in words is "one hundred one million, one hundred one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 407 418 627 703 814 1221 1254 1406 2109 2179 2442 4218 4358 6537 7733 13074 15466 23199 23969 41401 46398 47938 71907 80623 82802 124203 143814 161246 241869 248406 455411 483738 886853 910822 1366233 1531837 1773706 2660559 2732466 3063674 4595511 5321118 9191022 16850207 33700414 50550621 101101242