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103340202024 = 233311318291279
BaseRepresentation
bin110000000111110001…
…1100101100000101000
3100212201221211012000210
41200033203211200220
53143120042431044
6115250203101120
710315603136553
oct1401743454050
9325657735023
10103340202024
113a90a939344
12180405117a0
13998b829547
14500490369a
152a4c5ce1b9
hex180f8e5828

103340202024 has 128 divisors (see below), whose sum is σ = 269254656000. Its totient is φ = 33015340800.

The previous prime is 103340202023. The next prime is 103340202029. The reversal of 103340202024 is 420202043301.

103340202024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1033402020242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103340202023) 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, 80797017 + ... + 80798295.

It is an arithmetic number, because the mean of its divisors is an integer number (2103552000).

Almost surely, 2103340202024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103340202024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134627328000).

103340202024 is an abundant number, since it is smaller than the sum of its proper divisors (165914453976).

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

103340202024 is a wasteful number, since it uses less digits than its factorization.

103340202024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 103340202024 its reverse (420202043301), we get a palindrome (523542245325).

The spelling of 103340202024 in words is "one hundred three billion, three hundred forty million, two hundred two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 131 186 248 262 372 393 524 744 786 829 1048 1279 1572 1658 2487 2558 3144 3316 3837 4061 4974 5116 6632 7674 8122 9948 10232 12183 15348 16244 19896 24366 25699 30696 32488 39649 48732 51398 77097 79298 97464 102796 108599 118947 154194 158596 167549 205592 217198 237894 308388 317192 325797 335098 434396 475788 502647 616776 651594 670196 868792 951576 1005294 1060291 1303188 1340392 2010588 2120582 2606376 3180873 3366569 4021176 4241164 5194019 6361746 6733138 8482328 10099707 10388038 12723492 13466276 15582057 20199414 20776076 25446984 26932552 31164114 32869021 40398828 41552152 62328228 65738042 80797656 98607063 124656456 131476084 138898121 197214126 262952168 277796242 394428252 416694363 555592484 788856504 833388726 1111184968 1666777452 3333554904 4305841751 8611683502 12917525253 17223367004 25835050506 34446734008 51670101012 103340202024