Search a number
-
+
10203442221042 = 234723391206281
BaseRepresentation
bin1001010001111010110010…
…0011001000111111110010
31100010102212102122212220000
42110132230203020333302
52314133122202033132
633411221401530430
72102113544604210
oct224365443107762
940112772585800
1010203442221042
11328428a1488a4
1211895b41a3a16
13590246663c85
14273bc644bcb0
1512a6356ae87c
hex947ac8c8ff2

10203442221042 has 80 divisors (see below), whose sum is σ = 27265513030272. Its totient is φ = 2788518363840.

The previous prime is 10203442221041. The next prime is 10203442221083. The reversal of 10203442221042 is 24012224430201.

It is a happy number.

10203442221042 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 3 + 442 + 2 + 210 + 4 + 2 = 666.

It is a super-2 number, since 2×102034422210422 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10203442220997 and 10203442221015.

It is not an unprimeable number, because it can be changed into a prime (10203442221041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 195577059 + ... + 195629222.

Almost surely, 210203442221042 is an apocalyptic number.

10203442221042 is an abundant number, since it is smaller than the sum of its proper divisors (17062070809230).

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

10203442221042 is a wasteful number, since it uses less digits than its factorization.

10203442221042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391206325 (or 391206316 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10203442221042 its reverse (24012224430201), we get a palindrome (34215666651243).

The spelling of 10203442221042 in words is "ten trillion, two hundred three billion, four hundred forty-two million, two hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 322 378 414 483 567 621 966 1134 1242 1449 1863 2898 3726 4347 8694 13041 26082 391206281 782412562 1173618843 2347237686 2738443967 3520856529 5476887934 7041713058 8215331901 8997744463 10562569587 16430663802 17995488926 21125139174 24645995703 26993233389 31687708761 49291991406 53986466778 62984211241 63375417522 73937987109 80979700167 125968422482 147875974218 161959400334 188952633723 221813961327 242939100501 377905267446 443627922654 485878201002 566857901169 728817301503 1133715802338 1457634603006 1700573703507 3401147407014 5101721110521 10203442221042