Search a number
-
+
2211021102180 = 2235118340361831
BaseRepresentation
bin100000001011001011001…
…000001001110001100100
321211101000212021112110010
4200023023020021301210
5242211132400232210
64411421251330220
7315512110164222
oct40131310116144
97741025245403
102211021102180
117827638531a0
122b86165b0970
13130662c88b87
147902a575b12
153c7a8cad920
hex202cb209c64

2211021102180 has 96 divisors (see below), whose sum is σ = 6835034078208. Its totient is φ = 529547209600.

The previous prime is 2211021102163. The next prime is 2211021102181. The reversal of 2211021102180 is 812011201122.

It is a super-2 number, since 2×22110211021802 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2211021102181) 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, 20126136 + ... + 20235695.

It is an arithmetic number, because the mean of its divisors is an integer number (71198271648).

Almost surely, 22211021102180 is an apocalyptic number.

2211021102180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211021102180 is an abundant number, since it is smaller than the sum of its proper divisors (4624012976028).

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

2211021102180 is a wasteful number, since it uses less digits than its factorization.

2211021102180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40361937 (or 40361935 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 2211021102180 in words is "two trillion, two hundred eleven billion, twenty-one million, one hundred two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 83 110 132 165 166 220 249 330 332 415 498 660 830 913 996 1245 1660 1826 2490 2739 3652 4565 4980 5478 9130 10956 13695 18260 27390 54780 40361831 80723662 121085493 161447324 201809155 242170986 403618310 443980141 484341972 605427465 807236620 887960282 1210854930 1331940423 1775920564 2219900705 2421709860 2663880846 3350031973 4439801410 5327761692 6659702115 6700063946 8879602820 10050095919 13319404230 13400127892 16750159865 20100191838 26638808460 33500319730 36850351703 40200383676 50250479595 67000639460 73700703406 100500959190 110551055109 147401406812 184251758515 201001918380 221102110218 368503517030 442204220436 552755275545 737007034060 1105510551090 2211021102180