Search a number
-
+
202122110122010 = 251321723559116279
BaseRepresentation
bin101101111101010000111000…
…100100110011100000011010
3222111122200111101012211020222
4231331100320210303200122
5202443032040142401020
61553513340542120042
760400561211610311
oct5575207044634032
9874580441184228
10202122110122010
1159447561940141
121a804751880022
1388a2057c30700
1437caa95b7d278
1518579d73d8b25
hexb7d43893381a

202122110122010 has 144 divisors (see below), whose sum is σ = 418617125654400. Its totient is φ = 70219380022272.

The previous prime is 202122110121979. The next prime is 202122110122019. The reversal of 202122110122010 is 10221011221202.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 202122110122010.

It is not an unprimeable number, because it can be changed into a prime (202122110122019) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1738193051 + ... + 1738309329.

It is an arithmetic number, because the mean of its divisors is an integer number (2907063372600).

Almost surely, 2202122110122010 is an apocalyptic number.

202122110122010 is an abundant number, since it is smaller than the sum of its proper divisors (216495015532390).

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

202122110122010 is a wasteful number, since it uses less digits than its factorization.

202122110122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119905 (or 119875 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202122110122010 its reverse (10221011221202), we get a palindrome (212343121343212).

The spelling of 202122110122010 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 169 170 221 289 338 442 578 845 1105 1445 1690 2210 2873 2890 3559 3757 5746 7118 7514 14365 17795 18785 28730 35590 37570 46267 48841 60503 92534 97682 116279 121006 231335 232558 244205 302515 462670 488410 581395 601471 605030 786539 1028551 1162790 1202942 1511627 1573078 1976743 2057102 3007355 3023254 3932695 3953486 5142755 6014710 7558135 7865390 9883715 10225007 10285510 13371163 15116270 19651151 19767430 20450014 25697659 26742326 33604631 39302302 51125035 51395318 66855815 67209262 98255755 102250070 128488295 133711630 168023155 173825119 196511510 256976590 334069567 336046310 347650238 413836961 436860203 668139134 827673922 869125595 873720406 1670347835 1738251190 2069184805 2184301015 3340695670 4138369610 4368602030 5379880493 5679182639 7035228337 10759760986 11358365278 14070456674 26899402465 28395913195 35176141685 53798804930 56791826390 69938446409 70352283370 91457968381 119598881729 139876892818 182915936762 239197763458 349692232045 457289841905 597994408645 699384464090 914579683810 1188953588953 1195988817290 1554785462477 2377907177906 3109570924954 5944767944765 7773927312385 11889535889530 15547854624770 20212211012201 40424422024402 101061055061005 202122110122010