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11211100220010 = 23517671312504563
BaseRepresentation
bin1010001100100100100110…
…1001010110101001101010
31110200202210211221222001110
42203021021221112221222
52432140313124020020
635502150333531150
72234655341352645
oct243111151265152
943622724858043
1011211100220010
11363266788a759
121310952943ab6
1363428235a542
142aa897974a5c
1514695e3b78e0
hexa3249a56a6a

11211100220010 has 128 divisors (see below), whose sum is σ = 29135332537344. Its totient is φ = 2750610170880.

The previous prime is 11211100220009. The next prime is 11211100220029. The reversal of 11211100220010 is 1002200111211.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3223989 + ... + 5728551.

It is an arithmetic number, because the mean of its divisors is an integer number (227619785448).

Almost surely, 211211100220010 is an apocalyptic number.

11211100220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211100220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14567666268672).

11211100220010 is an abundant number, since it is smaller than the sum of its proper divisors (17924232317334).

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

11211100220010 is a wasteful number, since it uses less digits than its factorization.

11211100220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504788.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11211100220010 its reverse (1002200111211), we get a palindrome (12213300331221).

The spelling of 11211100220010 in words is "eleven trillion, two hundred eleven billion, one hundred million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 67 85 102 131 134 170 201 255 262 335 393 402 510 655 670 786 1005 1139 1310 1965 2010 2227 2278 3417 3930 4454 5695 6681 6834 8777 11135 11390 13362 17085 17554 22270 26331 33405 34170 43885 52662 66810 87770 131655 149209 263310 298418 447627 746045 895254 1492090 2238135 2504563 4476270 5009126 7513689 12522815 15027378 25045630 37568445 42577571 75136890 85155142 127732713 167805721 212887855 255465426 328097753 335611442 425775710 503417163 638663565 656195506 839028605 984293259 1006834326 1277327130 1640488765 1678057210 1968586518 2517085815 2852697257 3280977530 4921466295 5034171630 5577661801 5705394514 8558091771 9842932590 11155323602 14263486285 16732985403 17116183542 21982549451 27888309005 28526972570 33465970806 42790458855 43965098902 55776618010 65947648353 83664927015 85580917710 109912747255 131895296706 167329854030 219825494510 329738241765 373703340667 659476483530 747406681334 1121110022001 1868516703335 2242220044002 3737033406670 5605550110005 11211100220010