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2311000113100 = 22527191091594123
BaseRepresentation
bin100001101000010010010…
…101110011111111001100
322011221002120102112002111
4201220102111303333030
5300330412012104400
64525354144433404
7325651510564120
oct41502225637714
98157076375074
102311000113100
118110a9352948
12313a79318864
13139c07329c33
147dbd28d1580
15401ab24e3ba
hex21a12573fcc

2311000113100 has 144 divisors (see below), whose sum is σ = 6088278380800. Its totient is φ = 743753560320.

The previous prime is 2311000113089. The next prime is 2311000113113. The reversal of 2311000113100 is 13110001132.

2311000113100 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 2×23110001131002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 652639 + ... + 2246761.

Almost surely, 22311000113100 is an apocalyptic number.

2311000113100 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 2311000113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044139190400).

2311000113100 is an abundant number, since it is smaller than the sum of its proper divisors (3777278267700).

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

2311000113100 is a wasteful number, since it uses less digits than its factorization.

2311000113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594272 (or 1594265 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 2311000113100 its reverse (13110001132), we get a palindrome (2324110114232).

The spelling of 2311000113100 in words is "two trillion, three hundred eleven billion, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 109 133 140 175 190 218 266 350 380 436 475 532 545 665 700 763 950 1090 1330 1526 1900 2071 2180 2660 2725 3052 3325 3815 4142 5450 6650 7630 8284 10355 10900 13300 14497 15260 19075 20710 28994 38150 41420 51775 57988 72485 76300 103550 144970 207100 289940 362425 724850 1449700 1594123 3188246 6376492 7970615 11158861 15941230 22317722 30288337 31882460 39853075 44635444 55794305 60576674 79706150 111588610 121153348 151441685 159412300 173759407 212018359 223177220 278971525 302883370 347518814 424036718 557943050 605766740 695037628 757208425 848073436 868797035 1060091795 1115886100 1216315849 1514416850 1737594070 2120183590 2432631698 3028833700 3301428733 3475188140 4240367180 4343985175 4865263396 5300458975 6081579245 6602857466 8687970350 10600917950 12163158490 13205714932 16507143665 17375940700 21201835900 23110001131 24326316980 30407896225 33014287330 46220002262 60815792450 66028574660 82535718325 92440004524 115550005655 121631584900 165071436650 231100011310 330142873300 462200022620 577750028275 1155500056550 2311000113100