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11101221312 = 263157368273
BaseRepresentation
bin10100101011010111…
…10011000111000000
31001122122220110202220
422111223303013000
5140213403040222
65033321411040
7542045552466
oct122553630700
931578813686
1011101221312
114787393975
122199939a80
13107bba800c
147744dc836
1544e8d5b5c
hex295af31c0

11101221312 has 56 divisors (see below), whose sum is σ = 29559144336. Its totient is φ = 3676827648.

The previous prime is 11101221311. The next prime is 11101221349. The reversal of 11101221312 is 21312210111.

It is a super-2 number, since 2×111012213122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11101221291 and 11101221300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101221311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153993 + ... + 214280.

Almost surely, 211101221312 is an apocalyptic number.

11101221312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11101221312 is an abundant number, since it is smaller than the sum of its proper divisors (18457923024).

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

11101221312 is a wasteful number, since it uses less digits than its factorization.

11101221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368445 (or 368435 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11101221312 its reverse (21312210111), we get a palindrome (32413431423).

The spelling of 11101221312 in words is "eleven billion, one hundred one million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1884 2512 3768 5024 7536 10048 15072 30144 368273 736546 1104819 1473092 2209638 2946184 4419276 5892368 8838552 11784736 17677104 23569472 35354208 57818861 70708416 115637722 173456583 231275444 346913166 462550888 693826332 925101776 1387652664 1850203552 2775305328 3700407104 5550610656 11101221312