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20001113002112 = 2711731811075103
BaseRepresentation
bin1001000110000110111110…
…01111000101000010000000
32121211002100221202212112012
410203003133033011002000
510110144234412031422
6110312215013352052
74133014140256664
oct443033717050200
977732327685465
1020001113002112
116411473952aa0
1222b0424338628
13b21134a67878
144d20b7dc28a4
1524a41c9394e2
hex1230df3c5080

20001113002112 has 128 divisors (see below), whose sum is σ = 44307272056320. Its totient is φ = 8917326028800.

The previous prime is 20001113002097. The next prime is 20001113002183. The reversal of 20001113002112 is 21120031110002.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18066353 + ... + 19141455.

It is an arithmetic number, because the mean of its divisors is an integer number (346150562940).

Almost surely, 220001113002112 is an apocalyptic number.

20001113002112 is a gapful number since it is divisible by the number (22) 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 20001113002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22153636028160).

20001113002112 is an abundant number, since it is smaller than the sum of its proper divisors (24306159054208).

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

20001113002112 is a wasteful number, since it uses less digits than its factorization.

20001113002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075382 (or 1075370 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 20001113002112 its reverse (21120031110002), we get a palindrome (41121144112114).

The spelling of 20001113002112 in words is "twenty trillion, one billion, one hundred thirteen million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 128 146 176 181 292 352 362 584 704 724 803 1168 1408 1448 1606 1991 2336 2896 3212 3982 4672 5792 6424 7964 9344 11584 12848 13213 15928 23168 25696 26426 31856 51392 52852 63712 102784 105704 127424 145343 211408 254848 290686 422816 581372 845632 1075103 1162744 1691264 2150206 2325488 4300412 4650976 8600824 9301952 11826133 17201648 18603904 23652266 34403296 47304532 68806592 78482519 94609064 137613184 156965038 189218128 194593643 313930076 378436256 389187286 627860152 756872512 778374572 863307709 1255720304 1513745024 1556749144 1726615418 2140530073 2511440608 3113498288 3453230836 4281060146 5022881216 6226996576 6906461672 8562120292 10045762432 12453993152 13812923344 14205335939 17124240584 24907986304 27625846688 28410671878 34248481168 55251693376 56821343756 68496962336 110503386752 113642687512 136993924672 156258695329 227285375024 273987849344 312517390658 454570750048 625034781316 909141500096 1250069562632 1818283000192 2500139125264 5000278250528 10000556501056 20001113002112