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101310130240 = 26511149193163
BaseRepresentation
bin101111001011010001…
…1011110100001000000
3100200111110212212001221
41132112203132201000
53124440343131430
6114312523404424
710214362620124
oct1362643364100
9320443785057
10101310130240
1139a68a22370
1217774683714
139727083637
144c9105b584
15297e27b57a
hex17968de840

101310130240 has 112 divisors (see below), whose sum is σ = 264943742400. Its totient is φ = 36592609280.

The previous prime is 101310130237. The next prime is 101310130241. The reversal of 101310130240 is 42031013101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101310130241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 427899 + ... + 621061.

Almost surely, 2101310130240 is an apocalyptic number.

101310130240 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 101310130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132471871200).

101310130240 is an abundant number, since it is smaller than the sum of its proper divisors (163633612160).

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

101310130240 is a wasteful number, since it uses less digits than its factorization.

101310130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193340 (or 193330 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101310130240 its reverse (42031013101), we get a palindrome (143341143341).

The spelling of 101310130240 in words is "one hundred one billion, three hundred ten million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 149 160 176 220 298 320 352 440 596 704 745 880 1192 1490 1639 1760 2384 2980 3278 3520 4768 5960 6556 8195 9536 11920 13112 16390 23840 26224 32780 47680 52448 65560 104896 131120 193163 262240 386326 524480 772652 965815 1545304 1931630 2124793 3090608 3863260 4249586 6181216 7726520 8499172 10623965 12362432 15453040 16998344 21247930 28781287 30906080 33996688 42495860 57562574 61812160 67993376 84991720 115125148 135986752 143906435 169983440 230250296 287812870 316594157 339966880 460500592 575625740 633188314 679933760 921001184 1151251480 1266376628 1582970785 1842002368 2302502960 2532753256 3165941570 4605005920 5065506512 6331883140 9210011840 10131013024 12663766280 20262026048 25327532560 50655065120 101310130240