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21022102210122 = 2321334791109783
BaseRepresentation
bin1001100011110100101101…
…11011110100011001001010
32202102200201110002112112200
410301322112323310121022
510223411231131210442
6112413230451421030
74266540201325206
oct461722673643112
982380643075480
1021022102210122
11677547271a592
1224362835b4776
13b964b663a000
14529691c4db06
15266c76bba34c
hex131e96ef464a

21022102210122 has 96 divisors (see below), whose sum is σ = 49444872422400. Its totient is φ = 6454829485728.

The previous prime is 21022102210103. The next prime is 21022102210141. The reversal of 21022102210122 is 22101220122012.

It is a happy number.

21022102210122 is a `hidden beast` number, since 210 + 2 + 210 + 221 + 0 + 1 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (21022102210103) and next prime (21022102210141).

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

It is a junction number, because it is equal to n+sod(n) for n = 21022102210095 and 21022102210104.

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, 18387643 + ... + 19497425.

It is an arithmetic number, because the mean of its divisors is an integer number (515050754400).

Almost surely, 221022102210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022102210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24722436211200).

21022102210122 is an abundant number, since it is smaller than the sum of its proper divisors (28422770212278).

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

21022102210122 is a wasteful number, since it uses less digits than its factorization.

21022102210122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110309 (or 1110280 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21022102210122 its reverse (22101220122012), we get a palindrome (43123322332134).

The spelling of 21022102210122 in words is "twenty-one trillion, twenty-two billion, one hundred two million, two hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 479 507 958 1014 1437 1521 2197 2874 3042 4311 4394 6227 6591 8622 12454 13182 18681 19773 37362 39546 56043 80951 112086 161902 242853 485706 728559 1052363 1109783 1457118 2104726 2219566 3157089 3329349 6314178 6658698 9471267 9988047 14427179 18942534 19976094 28854358 43281537 86563074 129844611 187553327 259689222 375106654 531586057 562659981 1063172114 1125319962 1594758171 1687979943 2438193251 3189516342 3375959886 4784274513 4876386502 6910618741 7314579753 9568549026 13821237482 14629159506 20731856223 21943739259 41463712446 43887478518 62195568669 89838043633 124391137338 179676087266 269514130899 539028261798 808542392697 1167894567229 1617084785394 2335789134458 3503683701687 7007367403374 10511051105061 21022102210122