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103040323204 = 227135921122739
BaseRepresentation
bin101111111110110101…
…1101000111010000100
3100211222001112202121211
41133331223220322010
53142011310320304
6115200331421204
710305302203360
oct1377553507204
9324861482554
10103040323204
113a776637a05
1217b77bb4804
139941671960
144db6b622a0
152a310e6204
hex17fdae8e84

103040323204 has 96 divisors (see below), whose sum is σ = 226774195200. Its totient is φ = 39880632960.

The previous prime is 103040323153. The next prime is 103040323273. The reversal of 103040323204 is 402323040301.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4520067 + ... + 4542805.

It is an arithmetic number, because the mean of its divisors is an integer number (2362231200).

Almost surely, 2103040323204 is an apocalyptic number.

103040323204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103040323204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113387097600).

103040323204 is an abundant number, since it is smaller than the sum of its proper divisors (123733871996).

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

103040323204 is a wasteful number, since it uses less digits than its factorization.

103040323204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23033 (or 23031 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 103040323204 its reverse (402323040301), we get a palindrome (505363363505).

The spelling of 103040323204 in words is "one hundred three billion, forty million, three hundred twenty-three thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 59 91 118 182 211 236 364 413 422 767 826 844 1477 1534 1652 2743 2954 3068 5369 5486 5908 10738 10972 12449 19201 21476 22739 24898 38402 45478 49796 76804 87143 90956 159173 161837 174286 295607 318346 323674 348572 591214 636692 647348 1132859 1182428 1341601 2069249 2265718 2683202 4138498 4531436 4797929 5366404 8276996 9391207 9595858 17440813 18782414 19191716 33585503 34881626 37564828 62373077 67171006 69763252 122085691 124746154 134342012 244171382 249492308 283077811 436611539 488342764 566155622 873223078 1132311244 1746446156 1981544677 3680011543 3963089354 7360023086 7926178708 14720046172 25760080801 51520161602 103040323204