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20011110022002 = 231137393390763
BaseRepresentation
bin1001000110011001100110…
…00110101011101101110010
32121212001011122221002201010
410203030303012223231302
510110330223131201002
6110320551012251350
74133516650450401
oct443146306535562
977761148832633
1020011110022002
116415733a12000
1222b2354310b56
13b22068c50758
144d27859ab638
1524a80540946c
hex1233331abb72

20011110022002 has 64 divisors (see below), whose sum is σ = 44081017044480. Its totient is φ = 6055765301520.

The previous prime is 20011110021979. The next prime is 20011110022039. The reversal of 20011110022002 is 20022001111002.

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 31 ways as a sum of consecutive naturals, for example, 4206273 + ... + 7597035.

It is an arithmetic number, because the mean of its divisors is an integer number (688765891320).

Almost surely, 220011110022002 is an apocalyptic number.

20011110022002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011110022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22040508522240).

20011110022002 is an abundant number, since it is smaller than the sum of its proper divisors (24069907022478).

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

20011110022002 is a wasteful number, since it uses less digits than its factorization.

20011110022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391540 (or 3391518 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20011110022002 its reverse (20022001111002), we get a palindrome (40033111133004).

It can be divided in two parts, 2001111002 and 2002, that multiplied together give a palindrome (4006224226004).

The spelling of 20011110022002 in words is "twenty trillion, eleven billion, one hundred ten million, twenty-two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 739 1331 1478 2217 2662 3993 4434 7986 8129 16258 24387 48774 89419 178838 268257 536514 983609 1967218 2950827 3390763 5901654 6781526 10172289 20344578 37298393 74596786 111895179 223790358 410282323 820564646 1230846969 2461693938 2505773857 4513105553 5011547714 7517321571 9026211106 13539316659 15034643142 27078633318 27563512427 55127024854 82690537281 165381074562 303198636697 606397273394 909595910091 1819191820182 3335185003667 6670370007334 10005555011001 20011110022002