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1022230541052 = 2232713736978009
BaseRepresentation
bin11101110000000011011…
…00000011001011111100
310121201120000002220211100
432320001230003023330
5113222012004303202
62101334540053100
7133565553143040
oct16700154031374
93551500086740
101022230541052
11364586544476
12146146b34190
137551bb09146
1437694a7a020
151b8cd23341c
hexee01b032fc

1022230541052 has 144 divisors (see below), whose sum is σ = 2975842134720. Its totient is φ = 289819385856.

The previous prime is 1022230541027. The next prime is 1022230541069. The reversal of 1022230541052 is 2501450322201.

1022230541052 is a `hidden beast` number, since 10 + 2 + 2 + 230 + 5 + 410 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127631224 + ... + 127639232.

It is an arithmetic number, because the mean of its divisors is an integer number (20665570380).

Almost surely, 21022230541052 is an apocalyptic number.

1022230541052 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 1022230541052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487921067360).

1022230541052 is an abundant number, since it is smaller than the sum of its proper divisors (1953611593668).

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

1022230541052 is a wasteful number, since it uses less digits than its factorization.

1022230541052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11860 (or 11855 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1022230541052 its reverse (2501450322201), we get a palindrome (3523680863253).

The spelling of 1022230541052 in words is "one trillion, twenty-two billion, two hundred thirty million, five hundred forty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 959 1233 1644 1918 2466 2877 3697 3836 4932 5754 7394 8009 8631 11091 11508 14788 16018 17262 22182 24027 25879 32036 33273 34524 44364 48054 51758 56063 66546 72081 77637 96108 103516 112126 133092 144162 155274 168189 224252 232911 288324 310548 336378 465822 504567 506489 672756 931644 1009134 1012978 1097233 1519467 2018268 2025956 2194466 3038934 3291699 3545423 4388932 4558401 6077868 6583398 7090846 7680631 9116802 9875097 10636269 13166796 14181692 15361262 18233604 19750194 21272538 23041893 29609273 30722524 31908807 39500388 42545076 46083786 59218546 63817614 69125679 88827819 92167572 118437092 127635228 138251358 177655638 207264911 266483457 276502716 355311276 414529822 532966914 621794733 829059644 1065933828 1243589466 1865384199 2487178932 3730768398 4056470401 7461536796 8112940802 12169411203 16225881604 24338822406 28395292807 36508233609 48677644812 56790585614 73016467218 85185878421 113581171228 146032934436 170371756842 255557635263 340743513684 511115270526 1022230541052