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11200100210112 = 2631113194020529
BaseRepresentation
bin1010001011111011100111…
…1111101001010111000000
31110122201102020111120020110
42202332321333221113000
52432000301123210422
635453131025311320
72234115631666152
oct242767177512700
943581366446213
1011200100210112
113628a32645490
12130a7a2a95540
1363321b42b548
142aa132aa0ad2
1514651882560c
hexa2fb9fe95c0

11200100210112 has 112 divisors (see below), whose sum is σ = 32352079161600. Its totient is φ = 3391395778560.

The previous prime is 11200100210111. The next prime is 11200100210141. The reversal of 11200100210112 is 21101200100211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200100210111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775464 + ... + 4795992.

Almost surely, 211200100210112 is an apocalyptic number.

11200100210112 is a gapful number since it is divisible by the number (12) 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 11200100210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176039580800).

11200100210112 is an abundant number, since it is smaller than the sum of its proper divisors (21151978951488).

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

11200100210112 is a wasteful number, since it uses less digits than its factorization.

11200100210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021874 (or 4021864 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11200100210112 its reverse (21101200100211), we get a palindrome (32301300310323).

The spelling of 11200100210112 in words is "eleven trillion, two hundred billion, one hundred million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1319 2112 2638 3957 5276 7914 10552 14509 15828 21104 29018 31656 42208 43527 58036 63312 84416 87054 116072 126624 174108 232144 253248 348216 464288 696432 928576 1392864 2785728 4020529 8041058 12061587 16082116 24123174 32164232 44225819 48246348 64328464 88451638 96492696 128656928 132677457 176903276 192985392 257313856 265354914 353806552 385970784 530709828 707613104 771941568 1061419656 1415226208 2122839312 2830452416 4245678624 5303077751 8491357248 10606155502 15909233253 21212311004 31818466506 42424622008 58333855261 63636933012 84849244016 116667710522 127273866024 169698488032 175001565783 233335421044 254547732048 339396976064 350003131566 466670842088 509095464096 700006263132 933341684176 1018190928192 1400012526264 1866683368352 2800025052528 3733366736704 5600050105056 11200100210112