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11101323000012 = 2237713375523409
BaseRepresentation
bin1010000110001011101001…
…1010011111100011001100
31110022021110021202101101120
42201202322122133203030
52423341002142000022
635335513303040540
72224021063364610
oct241427232374314
943267407671346
1011101323000012
1135a0054471553
1212b3616740150
13626b0906252b
142a54421c3340
15143b86b28d5c
hexa18ba69f8cc

11101323000012 has 96 divisors (see below), whose sum is σ = 30109566090240. Its totient is φ = 3117853347840.

The previous prime is 11101322999909. The next prime is 11101323000013. The reversal of 11101323000012 is 21000032310111.

It is a happy number.

11101323000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11101322999955 and 11101323000000.

It is not an unprimeable number, because it can be changed into a prime (11101323000013) 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, 751837 + ... + 4771572.

It is an arithmetic number, because the mean of its divisors is an integer number (313641313440).

Almost surely, 211101323000012 is an apocalyptic number.

11101323000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11101323000012 is an abundant number, since it is smaller than the sum of its proper divisors (19008243090228).

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

11101323000012 is a wasteful number, since it uses less digits than its factorization.

11101323000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523831 (or 5523829 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11101323000012 its reverse (21000032310111), we get a palindrome (32101355310123).

The spelling of 11101323000012 in words is "eleven trillion, one hundred one billion, three hundred twenty-three million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 337 426 497 674 852 994 1011 1348 1491 1988 2022 2359 2982 4044 4718 5964 7077 9436 14154 23927 28308 47854 71781 95708 143562 167489 287124 334978 502467 669956 1004934 2009868 5523409 11046818 16570227 22093636 33140454 38663863 66280908 77327726 115991589 154655452 231983178 392162039 463966356 784324078 1176486117 1568648156 1861388833 2352972234 2745134273 3722777666 4705944468 5490268546 5584166499 7445555332 8235402819 10980537092 11168332998 13029721831 16470805638 22336665996 26059443662 32941611276 39089165493 52118887324 78178330986 132158607143 156356661972 264317214286 396475821429 528634428572 792951642858 925110250001 1585903285716 1850220500002 2775330750003 3700441000004 5550661500006 11101323000012