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11212021112010 = 23571113428910861
BaseRepresentation
bin1010001100101000000010…
…0010010001110011001010
31110200212012000210010101120
42203022000202101303022
52432144204401041020
635502421551500110
72235020222664165
oct243120042216312
943625160703346
1011212021112010
113632a9a691524
121310b6b227636
1363439b08a354
142aa943dacadc
151469b516e740
hexa3280891cca

11212021112010 has 128 divisors (see below), whose sum is σ = 27538287828480. Its totient is φ = 2920724889600.

The previous prime is 11212021111979. The next prime is 11212021112107. The reversal of 11212021112010 is 1021112021211.

It is a happy number.

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

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, 1032313980 + ... + 1032324840.

It is an arithmetic number, because the mean of its divisors is an integer number (215142873660).

Almost surely, 211212021112010 is an apocalyptic number.

11212021112010 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 11212021112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13769143914240).

11212021112010 is an abundant number, since it is smaller than the sum of its proper divisors (16326266716470).

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

11212021112010 is a wasteful number, since it uses less digits than its factorization.

11212021112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15344.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11212021112010 its reverse (1021112021211), we get a palindrome (12233133133221).

The spelling of 11212021112010 in words is "eleven trillion, two hundred twelve billion, twenty-one million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 71 113 142 213 226 339 355 426 565 678 710 1065 1130 1695 2130 3390 4289 8023 8578 10861 12867 16046 21445 21722 24069 25734 32583 40115 42890 48138 54305 64335 65166 80230 108610 120345 128670 162915 240690 304519 325830 484657 609038 771131 913557 969314 1227293 1453971 1522595 1542262 1827114 2313393 2423285 2454586 2907942 3045190 3681879 3855655 4567785 4626786 4846570 6136465 7269855 7363758 7711310 9135570 11566965 12272930 14539710 18409395 23133930 34410647 36818790 46582829 68821294 87137803 93165658 103231941 139748487 172053235 174275606 206463882 232914145 261413409 279496974 344106470 435689015 465828290 516159705 522826818 698742435 871378030 1032319410 1307067045 1397484870 2614134090 3307380859 5263859677 6614761718 9922142577 10527719354 15791579031 16536904295 19844285154 26319298385 31583158062 33073808590 49610712885 52638596770 78957895155 99221425770 157915790310 373734037067 747468074134 1121202111201 1868670185335 2242404222402 3737340370670 5606010556005 11212021112010