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220101010202120 = 235151199937974801
BaseRepresentation
bin110010000010111001000010…
…100001110001111000001000
31001212022110011211121111021012
4302002321002201301320020
5212322113332102431440
62100041001434503052
764234526134026545
oct6202710241617010
91055273154544235
10220101010202120
1164149350268273
1220829072b94a88
1395a7589452088
143c4cd35147bcc
151a6a4ebba8e65
hexc82e42871e08

220101010202120 has 128 divisors (see below), whose sum is σ = 498991570560000. Its totient is φ = 87372380160000.

The previous prime is 220101010202119. The next prime is 220101010202137. The reversal of 220101010202120 is 21202010101022.

It is a junction number, because it is equal to n+sod(n) for n = 220101010202095 and 220101010202104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45844823720 + ... + 45844828520.

It is an arithmetic number, because the mean of its divisors is an integer number (3898371645000).

Almost surely, 2220101010202120 is an apocalyptic number.

220101010202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220101010202120 is an abundant number, since it is smaller than the sum of its proper divisors (278890560357880).

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

220101010202120 is a wasteful number, since it uses less digits than its factorization.

220101010202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10759 (or 10755 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220101010202120 its reverse (21202010101022), we get a palindrome (241303020303142).

The spelling of 220101010202120 in words is "two hundred twenty trillion, one hundred one billion, ten million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 1999 3020 3797 3998 4801 6040 7594 7996 9602 9995 15188 15992 18985 19204 19990 24005 30376 37970 38408 39980 48010 75940 79960 96020 151880 192040 301849 573347 603698 724951 1146694 1207396 1449902 1509245 2293388 2414792 2866735 2899804 3018490 3624755 4586776 5733470 5799608 6036980 7249510 7590203 9597199 11466940 12073960 14499020 15180406 18229397 19194398 22933880 28998040 30360812 36458794 37951015 38388796 47985995 60721624 72917588 75902030 76777592 91146985 95971990 145835176 151804060 182293970 191943980 303608120 364587940 383887960 729175880 1146120653 1449177049 2292241306 2752638947 2898354098 4584482612 5505277894 5730603265 5796708196 7245885245 9168965224 11010555788 11461206530 11593416392 13763194735 14491770490 22021111576 22922413060 27526389470 28983540980 36440564603 45844826120 55052778940 57967081960 72881129206 110105557880 145762258412 182202823015 291524516824 364405646030 728811292060 1457622584120 5502525255053 11005050510106 22010101020212 27512626275265 44020202040424 55025252550530 110050505101060 220101010202120