Search a number
-
+
104324432012300 = 225223251405744543
BaseRepresentation
bin10111101110000111101100…
…101101100010010000001100
3111200101022121001002002010102
4113232013230231202100030
5102133222414043343200
61005513552112430232
730655122451562423
oct2756075455422014
9450338531062112
10104324432012300
113027181a158545
12b84a935248378
1346299a0708a96
141ba94880282ba
15c0dab7d136d5
hex5ee1ecb6240c

104324432012300 has 144 divisors (see below), whose sum is σ = 237231728197632. Its totient is φ = 39745717440000.

The previous prime is 104324432012279. The next prime is 104324432012407. The reversal of 104324432012300 is 3210234423401.

It is a super-2 number, since 2×1043244320123002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2342083829 + ... + 2342128371.

It is an arithmetic number, because the mean of its divisors is an integer number (1647442556928).

Almost surely, 2104324432012300 is an apocalyptic number.

104324432012300 is a gapful number since it is divisible by the number (10) 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 104324432012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118615864098816).

104324432012300 is an abundant number, since it is smaller than the sum of its proper divisors (132907296185332).

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

104324432012300 is a wasteful number, since it uses less digits than its factorization.

104324432012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48888 (or 48881 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 104324432012300 its reverse (3210234423401), we get a palindrome (107534666435701).

The spelling of 104324432012300 in words is "one hundred four trillion, three hundred twenty-four billion, four hundred thirty-two million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 251 460 502 575 1004 1150 1255 2300 2510 4057 5020 5773 6275 8114 11546 12550 16228 20285 23092 25100 28865 40570 44543 57730 81140 89086 93311 101425 115460 144325 178172 186622 202850 222715 288650 373244 405700 445430 466555 577300 890860 933110 1018307 1024489 1113575 1866220 2036614 2048978 2227150 2332775 4073228 4097956 4454300 4665550 5091535 5122445 9331100 10183070 10244890 11180293 20366140 20489780 22360586 23421061 25457675 25612225 44721172 46842122 50915350 51224450 55901465 93684244 101830700 102448900 111802930 117105305 180710951 223605860 234210610 257146739 279507325 361421902 468421220 514293478 559014650 585526525 722843804 903554755 1028586956 1118029300 1171053050 1285733695 1807109510 2342106100 2571467390 3614219020 4156351873 4517773775 5142934780 6428668475 8312703746 9035547550 12857336950 16625407492 18071095100 20781759365 25714673900 41563518730 45358448701 83127037460 90716897402 103908796825 181433794804 207817593650 226792243505 415635187300 453584487010 907168974020 1043244320123 1133961217525 2086488640246 2267922435050 4172977280492 4535844870100 5216221600615 10432443201230 20864886402460 26081108003075 52162216006150 104324432012300