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11010143146122 = 23773120128711
BaseRepresentation
bin1010000000110111111110…
…1010111101000010001010
31102222120002210202220000000
42200031333222331002022
52420342233121133442
635225553454223430
72214312416411031
oct240157752750212
942876083686000
1011010143146122
1135654148547aa
121299a0a7b4b76
1361b337980873
142a0c7271b718
151415ebde0d4c
hexa037fabd08a

11010143146122 has 128 divisors (see below), whose sum is σ = 25130129763840. Its totient is φ = 3616633152000.

The previous prime is 11010143146061. The next prime is 11010143146153. The reversal of 11010143146122 is 22164134101011.

It is a happy number.

11010143146122 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 0 + 1 + 43 + 1 + 4 + 612 + 2 = 666.

11010143146122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383467347 + ... + 383496057.

It is an arithmetic number, because the mean of its divisors is an integer number (196329138780).

Almost surely, 211010143146122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010143146122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565064881920).

11010143146122 is an abundant number, since it is smaller than the sum of its proper divisors (14119986617718).

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

11010143146122 is an equidigital number, since it uses as much as digits as its factorization.

11010143146122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30008 (or 29990 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11010143146122 its reverse (22164134101011), we get a palindrome (33174277247133).

The spelling of 11010143146122 in words is "eleven trillion, ten billion, one hundred forty-three million, one hundred forty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 729 1201 1314 1458 1971 2187 2402 3603 3942 4374 5913 7206 10809 11826 17739 21618 28711 32427 35478 53217 57422 64854 86133 87673 97281 106434 159651 172266 175346 194562 258399 263019 291843 319302 516798 526038 583686 775197 789057 875529 1550394 1578114 1751058 2095903 2325591 2367171 2626587 4191806 4651182 4734342 5253174 6287709 6976773 7101513 12575418 13953546 14203026 18863127 20930319 21304539 34481911 37726254 41860638 42609078 56589381 62790957 63913617 68963822 103445733 113178762 125581914 127827234 169768143 191740851 206891466 310337199 339536286 383481702 509304429 620674398 931011597 1018608858 1527913287 1862023194 2517179503 2793034791 3055826574 4583739861 5034359006 5586069582 7551538509 8379104373 9167479722 15103077018 16758208746 22654615527 25137313119 45309231054 50274626238 67963846581 75411939357 135927693162 150823878714 203891539743 407783079486 611674619229 1223349238458 1835023857687 3670047715374 5505071573061 11010143146122