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2011310100240 = 243574725472519
BaseRepresentation
bin11101010001001011011…
…011001000111100010000
321010021112122210110202120
4131101023123020330100
5230423130341201430
64135552203414240
7265212065525160
oct35211333107420
97107478713676
102011310100240
11705aa0131571
1228597b824380
131178867b4b8c
146d4c2a025a0
15374badc3610
hex1d44b6c8f10

2011310100240 has 160 divisors (see below), whose sum is σ = 7277397073920. Its totient is φ = 449946557952.

The previous prime is 2011310100167. The next prime is 2011310100341. The reversal of 2011310100240 is 420010131102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12657300 + ... + 12815219.

It is an arithmetic number, because the mean of its divisors is an integer number (45483731712).

Almost surely, 22011310100240 is an apocalyptic number.

2011310100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011310100240 is an abundant number, since it is smaller than the sum of its proper divisors (5266086973680).

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

2011310100240 is a wasteful number, since it uses less digits than its factorization.

2011310100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25472589 (or 25472583 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2011310100240 its reverse (420010131102), we get a palindrome (2431320231342).

The spelling of 2011310100240 in words is "two trillion, eleven billion, three hundred ten million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 47 48 56 60 70 80 84 94 105 112 120 140 141 168 188 210 235 240 280 282 329 336 376 420 470 560 564 658 705 752 840 940 987 1128 1316 1410 1645 1680 1880 1974 2256 2632 2820 3290 3760 3948 4935 5264 5640 6580 7896 9870 11280 13160 15792 19740 26320 39480 78960 25472519 50945038 76417557 101890076 127362595 152835114 178307633 203780152 254725190 305670228 356615266 382087785 407560304 509450380 534922899 611340456 713230532 764175570 891538165 1018900760 1069845798 1197208393 1222680912 1426461064 1528351140 1783076330 2037801520 2139691596 2394416786 2674614495 2852922128 3056702280 3566152660 3591625179 4279383192 4788833572 5349228990 5986041965 6113404560 7132305320 7183250358 8380458751 8558766384 9577667144 10698457980 11972083930 14264610640 14366500716 16760917502 17958125895 19155334288 21396915960 23944167860 25141376253 28733001432 33521835004 35916251790 41902293755 42793831920 47888335720 50282752506 57466002864 67043670008 71832503580 83804587510 95776671440 100565505012 125706881265 134087340016 143665007160 167609175020 201131010024 251413762530 287330014320 335218350040 402262020048 502827525060 670436700080 1005655050120 2011310100240