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2301002101320 = 2335132137968993
BaseRepresentation
bin100001011110111110011…
…010011011001001001000
322010222021210101220021220
4201132332122123021020
5300144423014220240
64521022112402040
7325145656102536
oct41367632331110
98128253356256
102301002101320
1180793877669a
12311b48b46320
13138ca2b87730
147d524b29156
153ecc36355d0
hex217be69b248

2301002101320 has 128 divisors (see below), whose sum is σ = 7434462268800. Its totient is φ = 566365814784.

The previous prime is 2301002101301. The next prime is 2301002101337. The reversal of 2301002101320 is 231012001032.

2301002101320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23010021013202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2301002101320.

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, 33316744 + ... + 33385736.

It is an arithmetic number, because the mean of its divisors is an integer number (58081736475).

Almost surely, 22301002101320 is an apocalyptic number.

2301002101320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301002101320 is an abundant number, since it is smaller than the sum of its proper divisors (5133460167480).

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

2301002101320 is a wasteful number, since it uses less digits than its factorization.

2301002101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90399 (or 90395 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2301002101320 its reverse (231012001032), we get a palindrome (2532014102352).

The spelling of 2301002101320 in words is "two trillion, three hundred one billion, two million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 21379 42758 64137 68993 85516 106895 128274 137986 171032 206979 213790 256548 275972 277927 320685 344965 413958 427580 513096 551944 555854 641370 689930 827916 833781 855160 896909 1034895 1111708 1282740 1379860 1389635 1655832 1667562 1793818 2069790 2223416 2565480 2690727 2759720 2779270 3335124 3587636 4139580 4168905 4484545 5381454 5558540 6670248 7175272 8279160 8337810 8969090 10762908 11117080 13453635 16675620 17938180 21525816 26907270 33351240 35876360 53814540 107629080 1475001347 2950002694 4425004041 5900005388 7375006735 8850008082 11800010776 14750013470 17700016164 19175017511 22125020205 29500026940 35400032328 38350035022 44250040410 57525052533 59000053880 76700070044 88500080820 95875087555 115050105066 153400140088 177000161640 191750175110 230100210132 287625262665 383500350220 460200420264 575250525330 767000700440 1150501050660 2301002101320