Search a number
-
+
103422453204 = 223789106912941
BaseRepresentation
bin110000001010001110…
…1010110010111010100
3100212221200120222102210
41200110131112113110
53143302122000304
6115302302033420
710320622230120
oct1402435262724
9325850528383
10103422453204
113a952307924
1218063b78870
1399a2897495
1450117d4580
152a54929c89
hex18147565d4

103422453204 has 96 divisors (see below), whose sum is σ = 279174470400. Its totient is φ = 29187671040.

The previous prime is 103422453193. The next prime is 103422453289. The reversal of 103422453204 is 402354224301.

It is a congruent number.

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, 7985374 + ... + 7998314.

It is an arithmetic number, because the mean of its divisors is an integer number (2908067400).

Almost surely, 2103422453204 is an apocalyptic number.

103422453204 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 103422453204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139587235200).

103422453204 is an abundant number, since it is smaller than the sum of its proper divisors (175752017196).

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

103422453204 is a wasteful number, since it uses less digits than its factorization.

103422453204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14113 (or 14111 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 103422453204 its reverse (402354224301), we get a palindrome (505776677505).

The spelling of 103422453204 in words is "one hundred three billion, four hundred twenty-two million, four hundred fifty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1069 1246 1869 2138 2492 3207 3738 4276 6414 7476 7483 12828 12941 14966 22449 25882 29932 38823 44898 51764 77646 89796 90587 95141 155292 181174 190282 271761 285423 362348 380564 543522 570846 665987 1087044 1141692 1151749 1331974 1997961 2303498 2663948 3455247 3995922 4606996 6910494 7991844 8062243 13820988 13833929 16124486 24186729 27667858 32248972 41501787 48373458 55335716 83003574 96746916 96837503 166007148 193675006 290512509 387350012 581025018 1162050036 1231219681 2462439362 3693659043 4924878724 7387318086 8618537767 14774636172 17237075534 25855613301 34474151068 51711226602 103422453204