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221100201220020 = 2235103325111004839
BaseRepresentation
bin110010010001011011100110…
…111101000001011110110100
31001222211222021011210100221020
4302101123212331001132310
5212440001203003020040
62102124010310021140
764366651046402313
oct6221334675013664
91058758234710836
10221100201220020
11644a4083577a11
122096a84a0477b0
13964a875c41585
143c85441d6827a
151a864cc3c1cd0
hexc916e6f417b4

221100201220020 has 96 divisors (see below), whose sum is σ = 625283387688960. Its totient is φ = 58369660752000.

The previous prime is 221100201220001. The next prime is 221100201220039. The reversal of 221100201220020 is 20022102001122.

It is an interprime number because it is at equal distance from previous prime (221100201220001) and next prime (221100201220039).

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

It is a congruent number.

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, 14588761 + ... + 25593599.

It is an arithmetic number, because the mean of its divisors is an integer number (6513368621760).

Almost surely, 2221100201220020 is an apocalyptic number.

221100201220020 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 221100201220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312641693844480).

221100201220020 is an abundant number, since it is smaller than the sum of its proper divisors (404183186468940).

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

221100201220020 is a wasteful number, since it uses less digits than its factorization.

221100201220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11008205 (or 11008203 counting only the distinct ones).

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

Adding to 221100201220020 its reverse (20022102001122), we get a palindrome (241122303221142).

The spelling of 221100201220020 in words is "two hundred twenty-one trillion, one hundred billion, two hundred one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 3251 6180 6502 9753 13004 16255 19506 32510 39012 48765 65020 97530 195060 334853 669706 1004559 1339412 1674265 2009118 3348530 4018236 5022795 6697060 10045590 11004839 20091180 22009678 33014517 44019356 55024195 66029034 110048390 132058068 165072585 220096780 330145170 660290340 1133498417 2266996834 3400495251 4533993668 5667492085 6800990502 11334984170 13601981004 17002476255 22669968340 34004952510 35776731589 68009905020 71553463178 107330194767 143106926356 178883657945 214660389534 357767315890 429320779068 536650973835 715534631780 1073301947670 2146603895340 3685003353667 7370006707334 11055010061001 14740013414668 18425016768335 22110020122002 36850033536670 44220040244004 55275050305005 73700067073340 110550100610010 221100201220020