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11231322113100 = 22352373148132141
BaseRepresentation
bin1010001101101111111011…
…1101110000010001001100
31110202201000011000120101210
42203123332331300101030
52433003221430104400
635515333111134420
72236302426536325
oct243337675602114
943681004016353
1011231322113100
1136401a45952a1
121314857074410
136361559b645b
142ab8554db44c
15147244864950
hexa36fef7044c

11231322113100 has 144 divisors (see below), whose sum is σ = 33376326340896. Its totient is φ = 2913889536000.

The previous prime is 11231322113087. The next prime is 11231322113149. The reversal of 11231322113100 is 131122313211.

It is a super-2 number, since 2×112313221131002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349423030 + ... + 349455170.

It is an arithmetic number, because the mean of its divisors is an integer number (231780044034).

Almost surely, 211231322113100 is an apocalyptic number.

11231322113100 is a gapful number since it is divisible by the number (10) 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 11231322113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16688163170448).

11231322113100 is an abundant number, since it is smaller than the sum of its proper divisors (22145004227796).

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

11231322113100 is a wasteful number, since it uses less digits than its factorization.

11231322113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63676 (or 63669 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11231322113100 its reverse (131122313211), we get a palindrome (11362444426311).

The spelling of 11231322113100 in words is "eleven trillion, two hundred thirty-one billion, three hundred twenty-two million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 31481 32141 62962 64282 94443 96423 125924 128564 157405 160705 188886 192846 314810 321410 377772 385692 472215 482115 629620 642820 787025 803525 944430 964230 1164797 1189217 1574050 1607050 1888860 1928460 2329594 2361075 2378434 2410575 3148100 3214100 3494391 3567651 4659188 4722150 4756868 4821150 5823985 5946085 6988782 7135302 9444300 9642300 11647970 11892170 13977564 14270604 17471955 17838255 23295940 23784340 29119925 29730425 34943910 35676510 58239850 59460850 69887820 71353020 87359775 89191275 116479700 118921700 174719550 178382550 349439100 356765100 1011830821 2023661642 3035492463 4047323284 5059154105 6070984926 10118308210 12141969852 15177462315 20236616420 25295770525 30354924630 37437740377 50591541050 60709849260 74875480754 75887311575 101183082100 112313221131 149750961508 151774623150 187188701885 224626442262 303549246300 374377403770 449252884524 561566105655 748754807540 935943509425 1123132211310 1871887018850 2246264422620 2807830528275 3743774037700 5615661056550 11231322113100