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1110002132112 = 243198319375979
BaseRepresentation
bin10000001001110001010…
…010000110010010010000
310221010002221211201120020
4100021301102012102100
5121141241021211422
62205532233543440
7143123613306366
oct20116122062220
93833087751506
101110002132112
113988272a1985
1215b161574b80
1380899061043
143ba1da23636
151dd18b3095c
hex10271486490

1110002132112 has 160 divisors (see below), whose sum is σ = 3070661798400. Its totient is φ = 344504918016.

The previous prime is 1110002131993. The next prime is 1110002132119. The reversal of 1110002132112 is 2112312000111.

Adding to 1110002132112 its reverse (2112312000111), we get a palindrome (3222314132223).

It is a junction number, because it is equal to n+sod(n) for n = 1110002132091 and 1110002132100.

It is not an unprimeable number, because it can be changed into a prime (1110002132119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14571339 + ... + 14647317.

It is an arithmetic number, because the mean of its divisors is an integer number (19191636240).

Almost surely, 21110002132112 is an apocalyptic number.

1110002132112 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 1110002132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535330899200).

1110002132112 is an abundant number, since it is smaller than the sum of its proper divisors (1960659666288).

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

1110002132112 is a wasteful number, since it uses less digits than its factorization.

1110002132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76285 (or 76279 counting only the distinct ones).

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

The spelling of 1110002132112 in words is "one trillion, one hundred ten billion, two million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 83 114 152 166 193 228 249 304 332 386 456 498 579 664 772 912 996 1158 1328 1544 1577 1992 2316 3088 3154 3667 3984 4632 4731 6308 7334 9264 9462 11001 12616 14668 16019 18924 22002 25232 29336 32038 37848 44004 48057 58672 64076 75696 75979 88008 96114 128152 151958 176016 192228 227937 256304 303916 304361 384456 455874 607832 608722 768912 911748 913083 1215664 1217444 1443601 1823496 1826166 2434888 2887202 3646992 3652332 4330803 4869776 5774404 6306257 7304664 8661606 11548808 12612514 14609328 14663947 17323212 18918771 23097616 25225028 29327894 34646424 37837542 43991841 50450056 58655788 69292848 75675084 87983682 100900112 117311576 119818883 151350168 175967364 234623152 239637766 278614993 302700336 351934728 359456649 479275532 557229986 703869456 718913298 835844979 958551064 1114459972 1217107601 1437826596 1671689958 1917102128 2228919944 2434215202 2875653192 3343379916 3651322803 4457839888 4868430404 5751306384 6686759832 7302645606 9736860808 13373519664 14605291212 19473721616 23125044419 29210582424 46250088838 58421164848 69375133257 92500177676 138750266514 185000355352 277500533028 370000710704 555001066056 1110002132112