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104321431410 = 235716724112343
BaseRepresentation
bin110000100101000001…
…0101011011101110010
3100222021100011210200220
41201022002223131302
53202122241301120
6115531414153510
710352116351620
oct1411202533562
9328240153626
10104321431410
1140273801519
1218275052896
139ab6bc3a51
145098d66510
152aa8803b40
hex184a0ab772

104321431410 has 128 divisors (see below), whose sum is σ = 289070014464. Its totient is φ = 23601853440.

The previous prime is 104321431397. The next prime is 104321431523. The reversal of 104321431410 is 14134123401.

It is a super-2 number, since 2×1043214314102 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 8445699 + ... + 8458041.

It is an arithmetic number, because the mean of its divisors is an integer number (2258359488).

Almost surely, 2104321431410 is an apocalyptic number.

104321431410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104321431410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144535007232).

104321431410 is an abundant number, since it is smaller than the sum of its proper divisors (184748583054).

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

104321431410 is a wasteful number, since it uses less digits than its factorization.

104321431410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12768.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 104321431410 its reverse (14134123401), we get a palindrome (118455554811).

The spelling of 104321431410 in words is "one hundred four billion, three hundred twenty-one million, four hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 167 210 241 334 482 501 723 835 1002 1169 1205 1446 1670 1687 2338 2410 2505 3374 3507 3615 5010 5061 5845 7014 7230 8435 10122 11690 12343 16870 17535 24686 25305 35070 37029 40247 50610 61715 74058 80494 86401 120741 123430 172802 185145 201235 241482 259203 281729 370290 402470 432005 518406 563458 603705 845187 864010 1207410 1296015 1408645 1690374 2061281 2592030 2817290 2974663 4122562 4225935 5949326 6183843 8451870 8923989 10306405 12367686 14428967 14873315 17847978 20612810 20822641 28857934 29746630 30919215 41645282 43286901 44619945 61838430 62467923 72144835 86573802 89239890 104113205 124935846 144289670 208226410 216434505 312339615 432869010 496768721 624679230 993537442 1490306163 2483843605 2980612326 3477381047 4967687210 6954762094 7451530815 10432143141 14903061630 17386905235 20864286282 34773810470 52160715705 104321431410