Search a number
-
+
210202100222100 = 223527157411635891
BaseRepresentation
bin101111110010110101111101…
…100000111100100010010100
31000120021010100210002022222220
4233302311331200330202110
5210022422400124101400
62023021302311422340
762163412666346460
oct5762657540744224
91016233323068886
10210202100222100
1160a82234688508
121b6aa6aa0849b0
139039c858a152c
1439c9b9bb3b4a0
151947c8ba147a0
hexbf2d7d83c894

210202100222100 has 144 divisors (see below), whose sum is σ = 695073786763776. Its totient is φ = 48045813552000.

The previous prime is 210202100222087. The next prime is 210202100222159. The reversal of 210202100222100 is 1222001202012.

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 210202100222100.

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, 330245155 + ... + 330881045.

Almost surely, 2210202100222100 is an apocalyptic number.

210202100222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210202100222100 is an abundant number, since it is smaller than the sum of its proper divisors (484871686541676).

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

210202100222100 is a wasteful number, since it uses less digits than its factorization.

210202100222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793326 (or 793319 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 210202100222100 its reverse (1222001202012), we get a palindrome (211424101424112).

The spelling of 210202100222100 in words is "two hundred ten trillion, two hundred two billion, one hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 157411 314822 472233 629644 635891 787055 944466 1101877 1271782 1574110 1888932 1907673 2203754 2361165 2543564 3148220 3179455 3305631 3815346 3935275 4407508 4451237 4722330 5509385 6358910 6611262 7630692 7870550 8902474 9444660 9538365 11018770 11805825 12717820 13222524 13353711 15741100 15897275 16528155 17804948 19076730 22037540 22256185 23611650 26707422 27546925 31794550 33056310 38153460 44512370 47223300 47691825 53414844 55093850 63589100 66112620 66768555 82640775 89024740 95383650 110187700 111280925 133537110 165281550 190767300 222561850 267074220 330563100 333842775 445123700 667685550 1335371100 100096238201 200192476402 300288714603 400384952804 500481191005 600577429206 700673667407 1000962382010 1201154858412 1401347334814 1501443573015 2001924764020 2102021002221 2502405955025 2802694669628 3002887146030 3503368337035 4204042004442 5004811910050 6005774292060 7006736674070 7507217865075 8408084008884 10009623820100 10510105011105 14013473348140 15014435730150 17516841685175 21020210022210 30028871460300 35033683370350 42040420044420 52550525055525 70067366740700 105101050111050 210202100222100