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1111131021132 = 2232114771840841
BaseRepresentation
bin10000001010110100100…
…100011101111101001100
310221020000122001020011200
4100022310210131331030
5121201044020134012
62210240241545500
7143163601563126
oct20126444357514
93836018036150
101111131021132
11399256548a10
1215b417645290
1380a18bb8102
143bac9922216
151dd82cc13dc
hex102b491df4c

1111131021132 has 144 divisors (see below), whose sum is σ = 3173297347584. Its totient is φ = 324900576000.

The previous prime is 1111131021103. The next prime is 1111131021163. The reversal of 1111131021132 is 2311201311111.

1111131021132 is a `hidden beast` number, since 1 + 1 + 111 + 310 + 211 + 32 = 666.

It is a super-2 number, since 2×11111310211322 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901032 + ... + 1741872.

It is an arithmetic number, because the mean of its divisors is an integer number (22036787136).

Almost surely, 21111131021132 is an apocalyptic number.

1111131021132 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 1111131021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586648673792).

1111131021132 is an abundant number, since it is smaller than the sum of its proper divisors (2062166326452).

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

1111131021132 is a wasteful number, since it uses less digits than its factorization.

1111131021132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840980 (or 840975 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1111131021132 its reverse (2311201311111), we get a palindrome (3422332332243).

The spelling of 1111131021132 in words is "one trillion, one hundred eleven billion, one hundred thirty-one million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 71 94 99 132 141 142 188 198 213 282 284 396 423 426 517 564 639 781 846 852 1034 1278 1551 1562 1692 2068 2343 2556 3102 3124 3337 4653 4686 6204 6674 7029 9306 9372 10011 13348 14058 18612 20022 28116 30033 36707 40044 60066 73414 110121 120132 146828 220242 330363 440484 660726 840841 1321452 1681682 2522523 3363364 5045046 7567569 9249251 10090092 15135138 18498502 27747753 30270276 36997004 39519527 55495506 59699711 79039054 83243259 110991012 118558581 119399422 158078108 166486518 179099133 237117162 238798844 332973036 355675743 358198266 434714797 474234324 537297399 656696821 711351486 716396532 869429594 1074594798 1304144391 1313393642 1422702972 1738859188 1970090463 2149189596 2608288782 2626787284 2805886417 3912433173 3940180926 5216577564 5611772834 5910271389 7824866346 7880361852 8417659251 11223545668 11820542778 15649732692 16835318502 23641085556 25252977753 30864750587 33670637004 50505955506 61729501174 92594251761 101011911012 123459002348 185188503522 277782755283 370377007044 555565510566 1111131021132