Search a number
-
+
103234302000204 = 223177129207244033
BaseRepresentation
bin10111011110010000011011…
…111001100011110001001100
3111112112002210000010122110020
4113132100123321203301030
5102012342322303001304
61003321103355142140
730513301145426004
oct2736203371436114
9445462700118406
10103234302000204
112a991470191551
12b6b35baa44950
13457ac506c9b4b
141b6c7d171d004
15be0563add5d9
hex5de41be63c4c

103234302000204 has 96 divisors (see below), whose sum is σ = 258651613172736. Its totient is φ = 31929849692160.

The previous prime is 103234302000199. The next prime is 103234302000229. The reversal of 103234302000204 is 402000203432301.

It is a super-2 number, since 2×1032343020002042 (a number of 29 digits) contains 22 as substring.

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, 422912172 + ... + 423156204.

It is an arithmetic number, because the mean of its divisors is an integer number (2694287637216).

Almost surely, 2103234302000204 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 103234302000204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129325806586368).

103234302000204 is an abundant number, since it is smaller than the sum of its proper divisors (155417311172532).

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

103234302000204 is a wasteful number, since it uses less digits than its factorization.

103234302000204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273335 (or 273333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 103234302000204 its reverse (402000203432301), we get a palindrome (505234505432505).

The spelling of 103234302000204 in words is "one hundred three trillion, two hundred thirty-four billion, three hundred two million, two hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2414 3621 4828 7242 14484 29207 58414 87621 116828 175242 244033 350484 488066 496519 732099 976132 993038 1464198 1489557 1986076 2073697 2928396 2979114 4147394 4148561 5958228 6221091 8294788 8297122 12442182 12445683 16594244 17326343 24884364 24891366 34652686 35252849 49782732 51979029 69305372 70505698 103958058 105758547 141011396 207916116 211517094 294547831 423034188 589095662 883643493 1178191324 1767286986 3534573972 7127471831 14254943662 21382415493 28509887324 42764830986 85529661972 121167021127 242334042254 363501063381 484668084508 506050500001 727002126762 1012101000002 1454004253524 1518151500003 2024202000004 3036303000006 6072606000012 8602858500017 17205717000034 25808575500051 34411434000068 51617151000102 103234302000204