Search a number
-
+
211121012020020 = 223519867712134283
BaseRepresentation
bin110000000000001101110000…
…111011010001001100110100
31000200111222020022202021212020
4300000031300323101030310
5210133001313034120040
62025003353132353140
762316663326636214
oct6000156073211464
91020458208667766
10211121012020020
11612a6a1140aa63
121b8187bb9157b0
1390a581a4555bb
143a1c450a9c244
151961b1e4a6cd0
hexc00370ed1334

211121012020020 has 96 divisors (see below), whose sum is σ = 622258866593280. Its totient is φ = 53335194952320.

The previous prime is 211121012020013. The next prime is 211121012020021. The reversal of 211121012020020 is 20020210121112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121012020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97851799 + ... + 99986081.

It is an arithmetic number, because the mean of its divisors is an integer number (6481863193680).

Almost surely, 2211121012020020 is an apocalyptic number.

211121012020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121012020020 is an abundant number, since it is smaller than the sum of its proper divisors (411137854573260).

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

211121012020020 is a wasteful number, since it uses less digits than its factorization.

211121012020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221085 (or 2221083 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211121012020020 its reverse (20020210121112), we get a palindrome (231141222141132).

The spelling of 211121012020020 in words is "two hundred eleven trillion, one hundred twenty-one billion, twelve million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 86771 173542 260313 347084 433855 520626 867710 1041252 1301565 1648649 1735420 2134283 2603130 3297298 4268566 4945947 5206260 6402849 6594596 8243245 8537132 9891894 10671415 12805698 16486490 19783788 21342830 24729735 25611396 32014245 32972980 40551377 42685660 49459470 64028490 81102754 98918940 121654131 128056980 162205508 202756885 243308262 405513770 486616524 608270655 811027540 1216541310 2433082620 185193870193 370387740386 555581610579 740775480772 925969350965 1111163221158 1851938701930 2222326442316 2777908052895 3518683533667 3703877403860 5555816105790 7037367067334 10556050601001 11111632211580 14074734134668 17593417668335 21112101202002 35186835336670 42224202404004 52780253005005 70373670673340 105560506010010 211121012020020