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2031110003100 = 2235273353262733
BaseRepresentation
bin11101100011100111100…
…101110001100110011100
321012011122112210202100010
4131203213211301212130
5231234203130044400
64153025024203220
7266512541111403
oct35434745614634
97164575722303
102031110003100
11713430711652
12289786769510
131196c08a0229
14704404bc63a
1537c792b6450
hex1d8e797199c

2031110003100 has 144 divisors (see below), whose sum is σ = 5974079321952. Its totient is φ = 532694384640.

The previous prime is 2031110003071. The next prime is 2031110003137. The reversal of 2031110003100 is 13000111302.

It is a super-2 number, since 2×20311100031002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7599334 + ... + 7862066.

It is an arithmetic number, because the mean of its divisors is an integer number (41486661958).

Almost surely, 22031110003100 is an apocalyptic number.

2031110003100 is a gapful number since it is divisible by the number (20) 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 2031110003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987039660976).

2031110003100 is an abundant number, since it is smaller than the sum of its proper divisors (3942969318852).

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

2031110003100 is a wasteful number, since it uses less digits than its factorization.

2031110003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263176 (or 263169 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 2031110003100 its reverse (13000111302), we get a palindrome (2044110114402).

The spelling of 2031110003100 in words is "two trillion, thirty-one billion, one hundred ten million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 353 365 438 706 730 876 1059 1095 1412 1460 1765 1825 2118 2190 3530 3650 4236 4380 5295 5475 7060 7300 8825 10590 10950 17650 21180 21900 25769 26475 35300 51538 52950 77307 103076 105900 128845 154614 257690 262733 309228 386535 515380 525466 644225 773070 788199 1050932 1288450 1313665 1546140 1576398 1932675 2576900 2627330 3152796 3865350 3940995 5254660 6568325 7730700 7881990 13136650 15763980 19179509 19704975 26273300 38359018 39409950 57538527 76718036 78819900 92744749 95897545 115077054 185489498 191795090 230154108 278234247 287692635 370978996 383590180 463723745 479487725 556468494 575385270 927447490 958975450 1112936988 1150770540 1391171235 1438463175 1854894980 1917950900 2318618725 2782342470 2876926350 4637237450 5564684940 5753852700 6770366677 6955856175 9274474900 13540733354 13911712350 20311100031 27081466708 27823424700 33851833385 40622200062 67703666770 81244400124 101555500155 135407333540 169259166925 203111000310 338518333850 406222000620 507777500775 677036667700 1015555001550 2031110003100