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1011211434324 = 22327132811098479
BaseRepresentation
bin11101011011100001110…
…01011111100101010100
310120200010001201022002100
432231300321133211110
5113031430111344244
62052313310242100
7133025522241330
oct16556071374524
93520101638070
101011211434324
1135a9415464a3
12143b907b6330
1374483c51b50
1436d2b4347c0
151b485b6cb69
hexeb70e5f954

1011211434324 has 144 divisors (see below), whose sum is σ = 3157189701120. Its totient is φ = 265743797760.

The previous prime is 1011211434307. The next prime is 1011211434349. The reversal of 1011211434324 is 4234341121101.

It is a happy number.

1011211434324 is a `hidden beast` number, since 1 + 0 + 11 + 211 + 4 + 3 + 432 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371317 + ... + 1469795.

It is an arithmetic number, because the mean of its divisors is an integer number (21924928480).

Almost surely, 21011211434324 is an apocalyptic number.

1011211434324 is a gapful number since it is divisible by the number (14) 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 1011211434324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578594850560).

1011211434324 is an abundant number, since it is smaller than the sum of its proper divisors (2145978266796).

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

1011211434324 is a wasteful number, since it uses less digits than its factorization.

1011211434324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098790 (or 1098785 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1011211434324 its reverse (4234341121101), we get a palindrome (5245552555425).

The spelling of 1011211434324 in words is "one trillion, eleven billion, two hundred eleven million, four hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 281 364 468 546 562 819 843 1092 1124 1638 1686 1967 2529 3276 3372 3653 3934 5058 5901 7306 7868 10116 10959 11802 14612 17703 21918 23604 25571 32877 35406 43836 51142 65754 70812 76713 102284 131508 153426 230139 306852 460278 920556 1098479 2196958 3295437 4393916 6590874 7689353 9886311 13181748 14280227 15378706 19772622 23068059 28560454 30757412 39545244 42840681 46136118 57120908 69204177 85681362 92272236 99961589 128522043 138408354 171362724 199923178 257044086 276816708 299884767 308672599 399846356 514088172 599769534 617345198 899654301 926017797 1199539068 1234690396 1799308602 1852035594 2160708193 2778053391 3598617204 3704071188 4012743787 4321416386 5556106782 6482124579 8025487574 8642832772 11112213564 12038231361 12964249158 16050975148 19446373737 24076462722 25928498316 28089206509 36114694083 38892747474 48152925444 56178413018 72229388166 77785494948 84267619527 112356826036 144458776332 168535239054 252802858581 337070478108 505605717162 1011211434324