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220211210011020 = 223529413086784553
BaseRepresentation
bin110010000100011111101010…
…111100101100000110001100
31001212200222121211222210220220
4302010133222330230012030
5212330420024230323040
62100203344443111340
764245510032660334
oct6204375274540614
91055628554883826
10220211210011020
116419106017a7a8
12208464a8812550
1395b4a9c16a2a7
143c543caaa00c4
151a6d2eb5be2d0
hexc847eaf2c18c

220211210011020 has 96 divisors (see below), whose sum is σ = 653410554390720. Its totient is φ = 55315179171840.

The previous prime is 220211210010929. The next prime is 220211210011097. The reversal of 220211210011020 is 20110012112022.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1543320937 + ... + 1543463616.

It is an arithmetic number, because the mean of its divisors is an integer number (6806359941570).

Almost surely, 2220211210011020 is an apocalyptic number.

220211210011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220211210011020 is an abundant number, since it is smaller than the sum of its proper divisors (433199344379700).

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

220211210011020 is a wasteful number, since it uses less digits than its factorization.

220211210011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086784635 (or 3086784633 counting only the distinct ones).

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

Adding to 220211210011020 its reverse (20110012112022), we get a palindrome (240321222123042).

The spelling of 220211210011020 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred ten million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 41 58 60 82 87 116 123 145 164 174 205 246 290 348 410 435 492 580 615 820 870 1189 1230 1740 2378 2460 3567 4756 5945 7134 11890 14268 17835 23780 35670 71340 3086784553 6173569106 9260353659 12347138212 15433922765 18520707318 30867845530 37041414636 46301768295 61735691060 89516752037 92603536590 126558166673 179033504074 185207073180 253116333346 268550256111 358067008148 379674500019 447583760185 506232666692 537100512222 632790833365 759349000038 895167520370 1074201024444 1265581666730 1342751280555 1518698000076 1790335040740 1898372500095 2531163333460 2685502561110 3670186833517 3796745000190 5371005122220 7340373667034 7593490000380 11010560500551 14680747334068 18350934167585 22021121001102 36701868335170 44042242002204 55052802502755 73403736670340 110105605005510 220211210011020