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21201111222102 = 23271914516103333
BaseRepresentation
bin1001101001000010001001…
…01101000000011101010110
32210001210202220010112210100
410310201010231000131112
510234324333433101402
6113031353412034530
74315505204660340
oct464410455003526
983053686115710
1021201111222102
1168343826337a9
122464b01302a46
13baa343b7b2c6
145341d41a6290
1526b7523c271c
hex134844b40756

21201111222102 has 96 divisors (see below), whose sum is σ = 55299135640320. Its totient is φ = 5734690747200.

The previous prime is 21201111222073. The next prime is 21201111222169. The reversal of 21201111222102 is 20122211110212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422028 + ... + 6525360.

It is an arithmetic number, because the mean of its divisors is an integer number (576032662920).

Almost surely, 221201111222102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201111222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27649567820160).

21201111222102 is an abundant number, since it is smaller than the sum of its proper divisors (34098024418218).

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

21201111222102 is a wasteful number, since it uses less digits than its factorization.

21201111222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6104818 (or 6104815 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21201111222102 its reverse (20122211110212), we get a palindrome (41323322332314).

The spelling of 21201111222102 in words is "twenty-one trillion, two hundred one billion, one hundred eleven million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 1451 2394 2902 4353 8706 10157 13059 20314 26118 27569 30471 55138 60942 82707 91413 165414 182826 192983 248121 385966 496242 578949 1157898 1736847 3473694 6103333 12206666 18309999 36619998 42723331 54929997 85446662 109859994 115963327 128169993 231926654 256339986 347889981 384509979 695779962 769019958 811743289 1043669943 1623486578 2087339886 2435229867 4870459734 7305689601 8855936183 14611379202 17711872366 26567808549 53135617098 61991553281 79703425647 123983106562 159406851294 168262787477 185974659843 336525574954 371949319686 504788362431 557923979529 1009576724862 1115847959058 1177839512339 1514365087293 2355679024678 3028730174586 3533518537017 7067037074034 10600555611051 21201111222102