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11122010220020 = 2257235153670297
BaseRepresentation
bin1010000111011000101101…
…1101111110010111110100
31110101020212000102001021012
42201312023131332113310
52424210334104020040
635353214142011352
72225352532014440
oct241661335762764
943336760361235
1011122010220020
1135a88aa901097
1212b762a876b58
13628a54c2350b
142a6445877820
15144497d90865
hexa1d8b77e5f4

11122010220020 has 96 divisors (see below), whose sum is σ = 27858828953088. Its totient is φ = 3646753431552.

The previous prime is 11122010220017. The next prime is 11122010220047. The reversal of 11122010220020 is 2002201022111.

It is a super-2 number, since 2×111220102200202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11122010219977 and 11122010220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16257512 + ... + 16927808.

It is an arithmetic number, because the mean of its divisors is an integer number (290196134928).

Almost surely, 211122010220020 is an apocalyptic number.

11122010220020 is a gapful number since it is divisible by the number (10) 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 11122010220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929414476544).

11122010220020 is an abundant number, since it is smaller than the sum of its proper divisors (16736818733068).

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

11122010220020 is a wasteful number, since it uses less digits than its factorization.

11122010220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675489 (or 675487 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11122010220020 its reverse (2002201022111), we get a palindrome (13124211242131).

The spelling of 11122010220020 in words is "eleven trillion, one hundred twenty-two billion, ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 5153 10306 20612 25765 36071 51530 72142 103060 118519 144284 180355 237038 360710 474076 592595 670297 721420 829633 1185190 1340594 1659266 2370380 2681188 3318532 3351485 4148165 4692079 6702970 8296330 9384158 13405940 15416831 16592660 18768316 23460395 30833662 46920790 61667324 77084155 93841580 107917817 154168310 215835634 308336620 431671268 539589085 1079178170 2158356340 3454040441 6908080882 13816161764 17270202205 24178283087 34540404410 48356566174 69080808820 79442930143 96713132348 120891415435 158885860286 241782830870 317771720572 397214650715 483565661740 556100511001 794429301430 1112201022002 1588858602860 2224402044004 2780502555005 5561005110010 11122010220020