Search a number
-
+
2212110002020 = 2252373162140639
BaseRepresentation
bin100000001100001100000…
…001111110011101100100
321211110211202020101012211
4200030030001332131210
5242220400130031040
64412121310253204
7315551101526302
oct40141401763544
97743752211184
102212110002020
11783172476816
122b887b1b7204
131307a77512c9
14790d1025272
153c81e6a08ea
hex2030c07e764

2212110002020 has 96 divisors (see below), whose sum is σ = 4916961423360. Its totient is φ = 834242872320.

The previous prime is 2212110002017. The next prime is 2212110002029. The reversal of 2212110002020 is 202000112122.

It is a happy number.

It is a super-2 number, since 2×22121100020202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2212110002029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54412861 + ... + 54453499.

It is an arithmetic number, because the mean of its divisors is an integer number (51218348160).

Almost surely, 22212110002020 is an apocalyptic number.

2212110002020 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 2212110002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458480711680).

2212110002020 is an abundant number, since it is smaller than the sum of its proper divisors (2704851421340).

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

2212110002020 is a wasteful number, since it uses less digits than its factorization.

2212110002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42365 (or 42363 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2212110002020 its reverse (202000112122), we get a palindrome (2414110114142).

The spelling of 2212110002020 in words is "two trillion, two hundred twelve billion, one hundred ten million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 115 146 230 292 365 460 730 1460 1621 1679 3242 3358 6484 6716 8105 8395 16210 16790 32420 33580 37283 40639 74566 81278 118333 149132 162556 186415 203195 236666 372830 406390 473332 591665 745660 812780 934697 1183330 1869394 2366660 2721659 2966647 3738788 4673485 5443318 5933294 9346970 10886636 11866588 13608295 14833235 18693940 27216590 29666470 54433180 59332940 65875819 68232881 131751638 136465762 263503276 272931524 329379095 341164405 658758190 682328810 1317516380 1364657620 1515143837 3030287674 4808934787 6060575348 7575719185 9617869574 15151438370 19235739148 24044673935 30302876740 48089347870 96178695740 110605500101 221211000202 442422000404 553027500505 1106055001010 2212110002020