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110101020012 = 22344165912577
BaseRepresentation
bin110011010001010001…
…0000011110101101100
3101112012010111022210000
41212202202003311230
53300441330120022
6122325114544300
710645256141304
oct1464242036554
9345163438700
10110101020012
114276a178a25
1219408738090
13a4c8409a69
14548679c604
152ce5dee6ac
hex19a2883d6c

110101020012 has 120 divisors (see below), whose sum is σ = 295316849520. Its totient is φ = 35748034560.

The previous prime is 110101019983. The next prime is 110101020031. The reversal of 110101020012 is 210020101011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110101019976 and 110101020003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8747868 + ... + 8760444.

It is an arithmetic number, because the mean of its divisors is an integer number (2460973746).

Almost surely, 2110101020012 is an apocalyptic number.

110101020012 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 110101020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147658424760).

110101020012 is an abundant number, since it is smaller than the sum of its proper divisors (185215829508).

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

110101020012 is a wasteful number, since it uses less digits than its factorization.

110101020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13293 (or 13282 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110101020012 its reverse (210020101011), we get a palindrome (320121121023).

The spelling of 110101020012 in words is "one hundred ten billion, one hundred one million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 659 738 1107 1318 1476 1977 2214 2636 3321 3954 4428 5931 6642 7908 11862 12577 13284 17793 23724 25154 27019 35586 37731 50308 53379 54038 71172 75462 81057 106758 108076 113193 150924 162114 213516 226386 243171 324228 339579 452772 486342 515657 679158 729513 972684 1018737 1031314 1358316 1459026 1546971 2037474 2062628 2188539 2918052 3093942 4074948 4377078 4640913 6187884 8288243 8754156 9281826 13922739 16576486 18563652 24864729 27845478 33152972 41768217 49729458 55690956 74594187 83536434 99458916 149188374 167072868 223782561 298376748 339817963 447565122 671347683 679635926 895130244 1019453889 1342695366 1359271852 2038907778 2685390732 3058361667 4077815556 6116723334 9175085001 12233446668 18350170002 27525255003 36700340004 55050510006 110101020012