Search a number
-
+
210022202011020 = 223572107667627319
BaseRepresentation
bin101111110000001110011010…
…101111101110110110001100
31000112121221000100212022220020
4233300032122233232312030
5210012000432203323040
62022402511224422140
762144413644652200
oct5760163257566614
91015557010768806
10210022202011020
1160a12a08849903
121b67b862617950
139026016078b19
1439c11b367ab00
15194325d215cd0
hexbf039abeed8c

210022202011020 has 144 divisors (see below), whose sum is σ = 690465515362560. Its totient is φ = 47556429115776.

The previous prime is 210022202011019. The next prime is 210022202011043. The reversal of 210022202011020 is 20110202220012.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 333499080 + ... + 334128239.

It is an arithmetic number, because the mean of its divisors is an integer number (4794899412240).

Almost surely, 2210022202011020 is an apocalyptic number.

210022202011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210022202011020 is an abundant number, since it is smaller than the sum of its proper divisors (480443313351540).

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

210022202011020 is a wasteful number, since it uses less digits than its factorization.

210022202011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667627452 (or 667627443 counting only the distinct ones).

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

Adding to 210022202011020 its reverse (20110202220012), we get a palindrome (230132404231032).

The spelling of 210022202011020 in words is "two hundred ten trillion, twenty-two billion, two hundred two million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 107 140 147 196 210 214 245 294 321 420 428 490 535 588 642 735 749 980 1070 1284 1470 1498 1605 2140 2247 2940 2996 3210 3745 4494 5243 6420 7490 8988 10486 11235 14980 15729 20972 22470 26215 31458 44940 52430 62916 78645 104860 157290 314580 667627319 1335254638 2002881957 2670509276 3338136595 4005763914 4673391233 6676273190 8011527828 9346782466 10014409785 13352546380 14020173699 18693564932 20028819570 23366956165 28040347398 32713738631 40057639140 46733912330 56080694796 65427477262 70100868495 71436123133 93467824660 98141215893 130854954524 140201736990 142872246266 163568693155 196282431786 214308369399 280403473980 285744492532 327137386310 357180615665 392564863572 428616738798 490706079465 500052861931 654274772620 714361231330 857233477596 981412158930 1000105723862 1071541846995 1428722462660 1500158585793 1962824317860 2000211447724 2143083693990 2500264309655 3000317171586 3500370033517 4286167387980 5000528619310 6000634343172 7000740067034 7500792928965 10001057238620 10501110100551 14001480134068 15001585857930 17501850167585 21002220201102 30003171715860 35003700335170 42004440402204 52505550502755 70007400670340 105011101005510 210022202011020