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103482286404 = 22373107234967
BaseRepresentation
bin110000001100000000…
…1100110000101000100
3100220002212011211011020
41200120001212011010
53143412431131104
6115312240311140
710322246631000
oct1403001460504
9326085154136
10103482286404
113a983064452
12180800124b0
1399b20b6543
14501972b700
152a59ce82d9
hex1818066144

103482286404 has 96 divisors (see below), whose sum is σ = 284217292800. Its totient is φ = 29289921696.

The previous prime is 103482286403. The next prime is 103482286417. The reversal of 103482286404 is 404682284301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (103482286403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322929 + ... + 557895.

It is an arithmetic number, because the mean of its divisors is an integer number (2960596800).

Almost surely, 2103482286404 is an apocalyptic number.

103482286404 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 103482286404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142108646400).

103482286404 is an abundant number, since it is smaller than the sum of its proper divisors (180735006396).

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

103482286404 is a wasteful number, since it uses less digits than its factorization.

103482286404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235102 (or 235086 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 103482286404 in words is "one hundred three billion, four hundred eighty-two million, two hundred eighty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 107 147 196 214 294 321 343 428 588 642 686 749 1029 1284 1372 1498 2058 2247 2996 4116 4494 5243 8988 10486 15729 20972 31458 36701 62916 73402 110103 146804 220206 234967 440412 469934 704901 939868 1409802 1644769 2819604 3289538 4934307 6579076 9868614 11513383 19737228 23026766 25141469 34540149 46053532 50282938 69080298 75424407 80593681 100565876 138160596 150848814 161187362 175990283 241781043 301697628 322374724 351980566 483562086 527970849 703961132 967124172 1055941698 1231931981 2111883396 2463863962 3695795943 4927727924 7391591886 8623523867 14783183772 17247047734 25870571601 34494095468 51741143202 103482286404