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1011044212144 = 24318377331771
BaseRepresentation
bin11101011011001101110…
…11100101110110110000
310120122200102001112101021
432231212323211312300
5113031104304242034
62052244534145224
7133021422002161
oct16554673456660
93518612045337
101011044212144
1135a866110a4a
12143b447b2214
1374458403005
1436d13145768
151b47613a6b4
hexeb66ee5db0

1011044212144 has 80 divisors (see below), whose sum is σ = 2049162845184. Its totient is φ = 482680339200.

The previous prime is 1011044212121. The next prime is 1011044212151. The reversal of 1011044212144 is 4412124401101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31806979 + ... + 31838749.

Almost surely, 21011044212144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011044212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024581422592).

1011044212144 is an abundant number, since it is smaller than the sum of its proper divisors (1038118633040).

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

1011044212144 is a wasteful number, since it uses less digits than its factorization.

1011044212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32666 (or 32660 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1011044212144 its reverse (4412124401101), we get a palindrome (5423168613245).

The spelling of 1011044212144 in words is "one trillion, eleven billion, forty-four million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 83 124 166 248 332 496 664 773 1328 1546 2573 3092 5146 6184 10292 12368 20584 23963 31771 41168 47926 63542 64159 95852 127084 128318 191704 254168 256636 383408 508336 513272 984901 1026544 1969802 1988929 2636993 3939604 3977858 5273986 7879208 7955716 10547972 15758416 15911432 21095944 24558983 31822864 42191888 49117966 81746783 98235932 163493566 196471864 326987132 392943728 653974264 761328473 1307948528 1522656946 2038395589 3045313892 4076791178 6090627784 8153582356 12181255568 16307164712 32614329424 63190263259 126380526518 252761053036 505522106072 1011044212144