Search a number
-
+
101324051341000 = 23534314939157733
BaseRepresentation
bin10111000010011101011000…
…000101100101111011001000
3111021202111002100111200211021
4113002131120011211323020
5101240043124120403000
6555255343202042224
730225264306635425
oct2702353005457310
9437674070450737
10101324051341000
112a31531a518894
12b445343949374
13446ca810742b7
141b0417875cd4c
15baaa0ee7811a
hex5c2758165ec8

101324051341000 has 128 divisors (see below), whose sum is σ = 242629972041600. Its totient is φ = 39584170348800.

The previous prime is 101324051340991. The next prime is 101324051341063. The reversal of 101324051341000 is 143150423101.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 642298134 + ... + 642455866.

It is an arithmetic number, because the mean of its divisors is an integer number (1895546656575).

Almost surely, 2101324051341000 is an apocalyptic number.

101324051341000 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 101324051341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121314986020800).

101324051341000 is an abundant number, since it is smaller than the sum of its proper divisors (141305920700600).

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

101324051341000 is a wasteful number, since it uses less digits than its factorization.

101324051341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172736 (or 172722 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 101324051341000 in words is "one hundred one trillion, three hundred twenty-four billion, fifty-one million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 4300 5375 8600 10750 14939 21500 29878 43000 59756 74695 119512 149390 157733 298780 315466 373475 597560 630932 642377 746950 788665 1261864 1284754 1493900 1577330 1867375 2569508 2987800 3154660 3211885 3734750 3943325 5139016 6309320 6423770 6782519 7469500 7886650 12847540 13565038 14939000 15773300 16059425 19716625 25695080 27130076 31546600 32118850 33912595 39433250 54260152 64237700 67825190 78866500 80297125 128475400 135650380 157733000 160594250 169562975 271300760 321188500 339125950 642377000 678251900 847814875 1356503800 1695629750 2356373287 3391259500 4712746574 6782519000 9425493148 11781866435 18850986296 23563732870 47127465740 58909332175 94254931480 101324051341 117818664350 202648102682 235637328700 294546660875 405296205364 471274657400 506620256705 589093321750 810592410728 1013240513410 1178186643500 2026481026820 2356373287000 2533101283525 4052962053640 5066202567050 10132405134100 12665506417625 20264810268200 25331012835250 50662025670500 101324051341000