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1113431002242 = 2313127173649709
BaseRepresentation
bin10000001100111101101…
…010001100110010000010
310221102221220212101010020
4100030331222030302002
5121220301314032432
62211300402314310
7143304600235326
oct20147552146202
93842856771106
101113431002242
1139a226856849
1215b959958996
1380cc4554790
143bc67187986
151de69b8c22c
hex1033da8cc82

1113431002242 has 64 divisors (see below), whose sum is σ = 2431017308160. Its totient is φ = 337931322624.

The previous prime is 1113431002237. The next prime is 1113431002273. The reversal of 1113431002242 is 2422001343111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1388884 + ... + 2038592.

It is an arithmetic number, because the mean of its divisors is an integer number (37984645440).

Almost surely, 21113431002242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113431002242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215508654080).

1113431002242 is an abundant number, since it is smaller than the sum of its proper divisors (1317586305918).

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

1113431002242 is a wasteful number, since it uses less digits than its factorization.

1113431002242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650027.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1113431002242 its reverse (2422001343111), we get a palindrome (3535432345353).

The spelling of 1113431002242 in words is "one trillion, one hundred thirteen billion, four hundred thirty-one million, two thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 127 173 254 346 381 519 762 1038 1651 2249 3302 4498 4953 6747 9906 13494 21971 43942 65913 131826 285623 571246 649709 856869 1299418 1713738 1949127 3898254 8446217 16892434 25338651 50677302 82513043 112399657 165026086 224799314 247539129 337198971 495078258 674397942 1072669559 1461195541 2145339118 2922391082 3218008677 4383586623 6436017354 8767173246 14274756439 28549512878 42824269317 85648538634 185571833707 371143667414 556715501121 1113431002242