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202421141124202 = 27113136471291523
BaseRepresentation
bin101110000001100111011000…
…001101100011010001101010
3222112201021100100210122220101
4232001213120031203101222
5203012431444111433302
61554302553302220014
760431305402313320
oct5601473015432152
9875637310718811
10202421141124202
1159552362069000
121a8526a672460a
1388c4302088320
1437db342323d10
15186068998c287
hexb819d836346a

202421141124202 has 128 divisors (see below), whose sum is σ = 411678172459008. Its totient is φ = 72686238229440.

The previous prime is 202421141124187. The next prime is 202421141124221.

202421141124202 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156084813 + ... + 157376335.

It is an arithmetic number, because the mean of its divisors is an integer number (3216235722336).

Almost surely, 2202421141124202 is an apocalyptic number.

202421141124202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202421141124202 is an abundant number, since it is smaller than the sum of its proper divisors (209257031334806).

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

202421141124202 is a wasteful number, since it uses less digits than its factorization.

202421141124202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292225 (or 1292203 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 202421141124202 in words is "two hundred two trillion, four hundred twenty-one billion, one hundred forty-one million, one hundred twenty-four thousand, two hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 647 847 1001 1294 1331 1573 1694 2002 2662 3146 4529 7117 8411 9058 9317 11011 14234 16822 17303 18634 22022 34606 49819 58877 78287 92521 99638 117754 121121 156574 185042 242242 548009 647647 861157 1017731 1096018 1291523 1295294 1722314 2035462 2583046 6028099 7124117 9040661 11195041 12056198 14206753 14248234 16789799 18081322 22390082 28413506 33579598 78365287 99447271 117528593 156274283 156730574 184687789 198894542 235057186 312548566 369375578 835615381 1093919981 1292814523 1671230762 1719017113 2031565679 2187839962 2585629046 3438034226 4063131358 5849307667 9191769191 10862999953 11698615334 12033119791 14220959753 18383538382 21725999906 22347222469 24066239582 28441919506 44694444938 64342384337 76040999671 101109461101 119492999483 128684768674 152081999342 156430557283 202218922202 238985998966 312861114566 707766227707 836450996381 1112204072111 1314422994313 1415532455414 1672901992762 2224408144222 2628845988626 7785428504777 9200960960191 14458652937443 15570857009554 18401921920382 28917305874886 101210570562101 202421141124202