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101355303540 = 223519471891663
BaseRepresentation
bin101111001100100111…
…1110011001001110100
3100200121121212220012010
41132121033303021310
53130033424203130
6114321215524220
710215451602531
oct1363117631164
9320547786163
10101355303540
1139a91476777
1217787829670
13973353baba
144c97059d88
1529832010b0
hex17993f3274

101355303540 has 96 divisors (see below), whose sum is σ = 305087569920. Its totient is φ = 25060738176.

The previous prime is 101355303527. The next prime is 101355303547. The reversal of 101355303540 is 45303553101.

101355303540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101355303498 and 101355303507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101355303547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892252 + ... + 999411.

It is an arithmetic number, because the mean of its divisors is an integer number (3177995520).

Almost surely, 2101355303540 is an apocalyptic number.

101355303540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101355303540 is an abundant number, since it is smaller than the sum of its proper divisors (203732266380).

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

101355303540 is a wasteful number, since it uses less digits than its factorization.

101355303540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891741 (or 1891739 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 101355303540 its reverse (45303553101), we get a palindrome (146658856641).

The spelling of 101355303540 in words is "one hundred one billion, three hundred fifty-five million, three hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 47 57 60 76 94 95 114 141 188 190 228 235 282 285 380 470 564 570 705 893 940 1140 1410 1786 2679 2820 3572 4465 5358 8930 10716 13395 17860 26790 53580 1891663 3783326 5674989 7566652 9458315 11349978 18916630 22699956 28374945 35941597 37833260 56749890 71883194 88908161 107824791 113499780 143766388 177816322 179707985 215649582 266724483 355632644 359415970 431299164 444540805 533448966 539123955 718831940 889081610 1066897932 1078247910 1333622415 1689255059 1778163220 2156495820 2667244830 3378510118 5067765177 5334489660 6757020236 8446275295 10135530354 16892550590 20271060708 25338825885 33785101180 50677651770 101355303540