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202121120220 = 223517412117881
BaseRepresentation
bin1011110000111101011…
…0111000100111011100
3201022201011112202102120
42330033112320213130
511302421001321340
6232504141022540
720413515113655
oct2741726704734
9638634482376
10202121120220
11787a0115218
1233209b54a50
13160a18c32b6
149ad5aa852c
1553ce7ae4d0
hex2f0f5b89dc

202121120220 has 144 divisors (see below), whose sum is σ = 614206714464. Its totient is φ = 49490739200.

The previous prime is 202121120189. The next prime is 202121120221. The reversal of 202121120220 is 22021121202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 202121120220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121120221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1655680 + ... + 1773560.

It is an arithmetic number, because the mean of its divisors is an integer number (4265324406).

Almost surely, 2202121120220 is an apocalyptic number.

202121120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202121120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307103357232).

202121120220 is an abundant number, since it is smaller than the sum of its proper divisors (412085594244).

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

202121120220 is a wasteful number, since it uses less digits than its factorization.

202121120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117992 (or 117949 counting only the distinct ones).

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

Adding to 202121120220 its reverse (22021121202), we get a palindrome (224142241422).

The spelling of 202121120220 in words is "two hundred two billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 102 123 164 170 204 205 246 255 340 410 492 510 615 697 820 1020 1230 1394 1681 2091 2460 2788 3362 3485 4182 5043 6724 6970 8364 8405 10086 10455 13940 16810 20172 20910 25215 28577 33620 41820 50430 57154 85731 100860 114308 117881 142885 171462 235762 285770 342924 353643 428655 471524 571540 589405 707286 857310 1178810 1414572 1714620 1768215 2003977 2357620 3536430 4007954 4833121 6011931 7072860 8015908 9666242 10019885 12023862 14499363 19332484 20039770 24047724 24165605 28998726 30059655 40079540 48331210 57997452 60119310 72496815 82163057 96662420 120238620 144993630 164326114 198157961 246489171 289987260 328652228 396315922 410815285 492978342 594473883 792631844 821630570 985956684 990789805 1188947766 1232445855 1643261140 1981579610 2377895532 2464891710 2972369415 3368685337 3963159220 4929783420 5944738830 6737370674 10106056011 11889477660 13474741348 16843426685 20212112022 33686853370 40424224044 50530280055 67373706740 101060560110 202121120220