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101314013240 = 235111092112469
BaseRepresentation
bin101111001011011001…
…0010010100000111000
3100200111202012010112202
41132112302102200320
53124442341410430
6114313142525332
710214440621616
oct1362662224070
9320452163482
10101314013240
1139a70134760
1217775a36848
139727b12b7b
144c9178c6b6
15297e796d45
hex1796c92838

101314013240 has 64 divisors (see below), whose sum is σ = 250961436000. Its totient is φ = 36503447040.

The previous prime is 101314013233. The next prime is 101314013261. The reversal of 101314013240 is 42310413101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1008275 + ... + 1104194.

Almost surely, 2101314013240 is an apocalyptic number.

101314013240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101314013240 is an abundant number, since it is smaller than the sum of its proper divisors (149647422760).

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

101314013240 is a wasteful number, since it uses less digits than its factorization.

101314013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112600 (or 2112596 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101314013240 its reverse (42310413101), we get a palindrome (143624426341).

The spelling of 101314013240 in words is "one hundred one billion, three hundred fourteen million, thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 545 872 1090 1199 2180 2398 4360 4796 5995 9592 11990 23980 47960 2112469 4224938 8449876 10562345 16899752 21124690 23237159 42249380 46474318 84498760 92948636 116185795 185897272 230259121 232371590 460518242 464743180 921036484 929486360 1151295605 1842072968 2302591210 2532850331 4605182420 5065700662 9210364840 10131401324 12664251655 20262802648 25328503310 50657006620 101314013240