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1011212211312 = 243231684133113
BaseRepresentation
bin11101011011100001111…
…00011101010001110000
310120200010010011202220200
432231300330131101300
5113031430311230222
62052313335035200
7133025531655522
oct16556074352160
93520103152820
101011212211312
1135a941a27236
12143b90b0bb00
13744841646c4
1436d2b597a12
151b485c72eac
hexeb70f1d470

1011212211312 has 120 divisors (see below), whose sum is σ = 2921794981248. Its totient is φ = 326139955200.

The previous prime is 1011212211283. The next prime is 1011212211319. The reversal of 1011212211312 is 2131122121101.

It is a happy number.

1011212211312 is a `hidden beast` number, since 10 + 1 + 121 + 221 + 1 + 312 = 666.

It is a super-2 number, since 2×10112122113122 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011212211319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30521668 + ... + 30554780.

Almost surely, 21011212211312 is an apocalyptic number.

1011212211312 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 1011212211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460897490624).

1011212211312 is an abundant number, since it is smaller than the sum of its proper divisors (1910582769936).

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

1011212211312 is a wasteful number, since it uses less digits than its factorization.

1011212211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39999 (or 39990 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1011212211312 its reverse (2131122121101), we get a palindrome (3142334332413).

The spelling of 1011212211312 in words is "one trillion, eleven billion, two hundred twelve million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 6841 13682 20523 27364 33113 41046 54728 61569 66226 82092 99339 109456 123138 132452 164184 198678 212071 246276 264904 298017 328368 397356 424142 492552 529808 596034 636213 794712 848284 985104 1026503 1192068 1272426 1589424 1696568 1908639 2053006 2384136 2544852 3079509 3393136 3817278 4106012 4768272 5089704 6159018 7634556 8212024 9238527 10179408 12318036 15269112 16424048 18477054 24636072 30538224 36954108 49272144 73908216 147816432 226526033 453052066 679578099 906104132 1359156198 1812208264 2038734297 2718312396 3624416528 4077468594 5436624792 7022307023 8154937188 10873249584 14044614046 16309874376 21066921069 28089228092 32619748752 42133842138 56178456184 63200763207 84267684276 112356912368 126401526414 168535368552 252803052828 337070737104 505606105656 1011212211312