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220021221022120 = 235723197173425309
BaseRepresentation
bin110010000001101110101110…
…101110001101100110101000
31001212000211020012012011221101
4302001232232232031212220
5212314311430040201440
62055540204211451144
764226002652135530
oct6201565656154650
91055024205164841
10220021221022120
11641185263643a1
12208157058b6ab4
13959cbb1bc242b
143c491263aa4c0
151a683cbe8069a
hexc81baeb8d9a8

220021221022120 has 128 divisors (see below), whose sum is σ = 593364292646400. Its totient is φ = 71789753097216.

The previous prime is 220021221022111. The next prime is 220021221022139. The reversal of 220021221022120 is 21220122120022.

220021221022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 85443975 + ... + 87981334.

It is an arithmetic number, because the mean of its divisors is an integer number (4635658536300).

Almost surely, 2220021221022120 is an apocalyptic number.

220021221022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021221022120 is an abundant number, since it is smaller than the sum of its proper divisors (373343071624280).

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

220021221022120 is a wasteful number, since it uses less digits than its factorization.

220021221022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173425547 (or 173425543 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 220021221022120 its reverse (21220122120022), we get a palindrome (241241343142142).

The spelling of 220021221022120 in words is "two hundred twenty trillion, twenty-one billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 197 230 280 322 394 460 644 788 805 920 985 1288 1379 1576 1610 1970 2758 3220 3940 4531 5516 6440 6895 7880 9062 11032 13790 18124 22655 27580 31717 36248 45310 55160 63434 90620 126868 158585 181240 253736 317170 634340 1268680 173425309 346850618 693701236 867126545 1213977163 1387402472 1734253090 2427954326 3468506180 3988782107 4855908652 6069885815 6937012360 7977564214 9711817304 12139771630 15955128428 19943910535 24279543260 27921474749 31910256856 34164785873 39887821070 48559086520 55842949498 68329571746 79775642140 111685898996 136659143492 139607373745 159551284280 170823929365 223371797992 239153501111 273318286984 279214747490 341647858730 478307002222 558429494980 683295717460 785790075079 956614004444 1116858989960 1195767505555 1366591434920 1571580150158 1913228008888 2391535011110 3143160300316 3928950375395 4783070022220 5500530525553 6286320600632 7857900750790 9566140044440 11001061051106 15715801501580 22002122102212 27502652627765 31431603003160 44004244204424 55005305255530 110010610511060 220021221022120