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2220220101012 = 22329371103156329
BaseRepresentation
bin100000010011101111011…
…011100011000110010100
321212020202221211002112120
4200103233123203012110
5242334002321213022
64415542142015540
7316256060322624
oct40235733430624
97766687732476
102220220101012
11786654403171
122ba3632775b0
1313149aa32854
147966018c884
153cb46697d5c
hex204ef6e3194

2220220101012 has 96 divisors (see below), whose sum is σ = 5509019174400. Its totient is φ = 694606574592.

The previous prime is 2220220100999. The next prime is 2220220101019. The reversal of 2220220101012 is 2101010220222.

It is a junction number, because it is equal to n+sod(n) for n = 2220220100982 and 2220220101000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220220101019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14124064 + ... + 14280392.

It is an arithmetic number, because the mean of its divisors is an integer number (57385616400).

Almost surely, 22220220101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220220101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754509587200).

2220220101012 is an abundant number, since it is smaller than the sum of its proper divisors (3288799073388).

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

2220220101012 is a wasteful number, since it uses less digits than its factorization.

2220220101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157505 (or 157503 counting only the distinct ones).

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

Adding to 2220220101012 its reverse (2101010220222), we get a palindrome (4321230321234).

It can be divided in two parts, 2220220 and 101012, that added together give a palindrome (2321232).

The spelling of 2220220101012 in words is "two trillion, two hundred twenty billion, two hundred twenty million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 1073 1103 2146 2206 3219 3309 4292 4412 6438 6618 12876 13236 31987 40811 63974 81622 95961 122433 127948 156329 163244 191922 244866 312658 383844 468987 489732 625316 937974 1183519 1875948 2367038 3550557 4533541 4734076 5784173 7101114 9067082 11568346 13600623 14202228 17352519 18134164 23136692 27201246 34705038 54402492 69410076 167741017 172430887 335482034 344861774 503223051 517292661 670964068 689723548 1006446102 1034585322 2012892204 2069170644 5000495723 6379942819 10000991446 12759885638 15001487169 19139828457 20001982892 25519771276 30002974338 38279656914 60005948676 76559313828 185018341751 370036683502 555055025253 740073367004 1110110050506 2220220101012