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22100103200220 = 22351039833637913
BaseRepresentation
bin1010000011001100101001…
…10011001111110111011100
32220020202020012010210221220
411001212110303033313130
510344042002404401340
6115000351450053340
74440452105466513
oct501462463176734
986222205123856
1022100103200220
117050668120861
12258b193a1a250
13c4405284bb56
1456591775367a
15284d1b185ed0
hex141994ccfddc

22100103200220 has 96 divisors (see below), whose sum is σ = 62544647273472. Its totient is φ = 5830205081088.

The previous prime is 22100103200177. The next prime is 22100103200293. The reversal of 22100103200220 is 2200230100122.

It is a happy number.

It is a super-2 number, since 2×221001032002202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22100103200220.

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, 4255984 + ... + 7893896.

It is an arithmetic number, because the mean of its divisors is an integer number (651506742432).

Almost surely, 222100103200220 is an apocalyptic number.

22100103200220 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 22100103200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31272323636736).

22100103200220 is an abundant number, since it is smaller than the sum of its proper divisors (40444544073252).

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

22100103200220 is a wasteful number, since it uses less digits than its factorization.

22100103200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639011 (or 3639009 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22100103200220 its reverse (2200230100122), we get a palindrome (24300333300342).

The spelling of 22100103200220 in words is "twenty-two trillion, one hundred billion, one hundred three million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 983 1030 1236 1545 1966 2060 2949 3090 3932 4915 5898 6180 9830 11796 14745 19660 29490 58980 101249 202498 303747 404996 506245 607494 1012490 1214988 1518735 2024980 3037470 3637913 6074940 7275826 10913739 14551652 18189565 21827478 36379130 43654956 54568695 72758260 109137390 218274780 374705039 749410078 1124115117 1498820156 1873525195 2248230234 3576068479 3747050390 4496460468 5620575585 7152136958 7494100780 10728205437 11241151170 14304273916 17880342395 21456410874 22482302340 35760684790 42912821748 53641027185 71521369580 107282054370 214564108740 368335053337 736670106674 1105005160011 1473340213348 1841675266685 2210010320022 3683350533370 4420020640044 5525025800055 7366701066740 11050051600110 22100103200220