Search a number
-
+
11112021202212 = 22327197353634091
BaseRepresentation
bin1010000110110011100000…
…0100111001010100100100
31110100022001212022100212200
42201230320010321110210
52424024404411432322
635344443030414500
72224550146532520
oct241547004712444
943308055270780
1011112021202212
1135a4644308177
1212b5701501430
13627b225ac9a8
142a5b78d72d80
151440b0e518ac
hexa1b38139524

11112021202212 has 144 divisors (see below), whose sum is σ = 32355797265792. Its totient is φ = 3149793884160.

The previous prime is 11112021202201. The next prime is 11112021202213. The reversal of 11112021202212 is 21220212021111.

11112021202212 is a `hidden beast` number, since 111 + 120 + 21 + 202 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11112021202213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17207287 + ... + 17841377.

It is an arithmetic number, because the mean of its divisors is an integer number (224693036568).

Almost surely, 211112021202212 is an apocalyptic number.

11112021202212 is a gapful number since it is divisible by the number (12) 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 11112021202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16177898632896).

11112021202212 is an abundant number, since it is smaller than the sum of its proper divisors (21243776063580).

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

11112021202212 is a wasteful number, since it uses less digits than its factorization.

11112021202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634658 (or 634653 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11112021202212 its reverse (21220212021111), we get a palindrome (32332233223323).

The spelling of 11112021202212 in words is "eleven trillion, one hundred twelve billion, twenty-one million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 197 252 353 394 591 706 788 1059 1182 1379 1412 1773 2118 2364 2471 2758 3177 3546 4137 4236 4942 5516 6354 7092 7413 8274 9884 12411 12708 14826 16548 22239 24822 29652 44478 49644 69541 88956 139082 208623 278164 417246 486787 625869 634091 834492 973574 1251738 1268182 1460361 1902273 1947148 2503476 2536364 2920722 3804546 4381083 4438637 5706819 5841444 7609092 8762166 8877274 11413638 13315911 17524332 17754548 22827276 26631822 39947733 53263644 79895466 124915927 159790932 223834123 249831854 374747781 447668246 499663708 671502369 749495562 874411489 895336492 1124243343 1343004738 1498991124 1566838861 1748822978 2014507107 2248486686 2623234467 2686009476 3133677722 3497645956 4029014214 4496973372 4700516583 5246468934 6267355444 7869703401 8058028428 9401033166 10492937868 14101549749 15739406802 18802066332 28203099498 31478813604 44095322231 56406198996 88190644462 132285966693 176381288924 264571933386 308667255617 396857900079 529143866772 617334511234 793715800158 926001766851 1234669022468 1587431600316 1852003533702 2778005300553 3704007067404 5556010601106 11112021202212