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1012121587722 = 237371634219491
BaseRepresentation
bin11101011101001110010…
…01011101000000001010
310120202110111022212211110
432232213021131000022
5113040311111301342
62052543502111150
7133060213355640
oct16564711350012
93522414285743
101012121587722
11360269283193
121441a557b4b6
137459a691b5b
1436db6275190
151b4daa02c9c
hexeba725d00a

1012121587722 has 128 divisors (see below), whose sum is σ = 2396452681728. Its totient is φ = 278942227200.

The previous prime is 1012121587717. The next prime is 1012121587723. The reversal of 1012121587722 is 2277851212101.

It is a super-2 number, since 2×10121215877222 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012121587723) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 106635397 + ... + 106644887.

It is an arithmetic number, because the mean of its divisors is an integer number (18722286576).

Almost surely, 21012121587722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012121587722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198226340864).

1012121587722 is an abundant number, since it is smaller than the sum of its proper divisors (1384331094006).

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

1012121587722 is a wasteful number, since it uses less digits than its factorization.

1012121587722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10124.

The product of its (nonzero) digits is 31360, while the sum is 39.

Adding to 1012121587722 its reverse (2277851212101), we get a palindrome (3289972799823).

The spelling of 1012121587722 in words is "one trillion, twelve billion, one hundred twenty-one million, five hundred eighty-seven thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 163 222 259 326 421 489 518 777 842 978 1141 1263 1554 2282 2526 2947 3423 5894 6031 6846 8841 9491 12062 15577 17682 18093 18982 28473 31154 36186 42217 46731 56946 66437 68623 84434 93462 109039 126651 132874 137246 199311 205869 218078 253302 327117 351167 398622 411738 480361 654234 702334 960722 1053501 1441083 1547033 2107002 2458169 2539051 2882166 3094066 3995711 4641099 4916338 5078102 7374507 7617153 7991422 9282198 10829231 11987133 14749014 15234306 17773357 21658462 23974266 27969977 32487693 35546714 53320071 55939954 57240221 64975386 83909931 106640142 114480442 147841307 167819862 171720663 295682614 343441326 400681547 443523921 651300893 801363094 887047842 1034889149 1202044641 1302601786 1953902679 2069778298 2404089282 3104667447 3907805358 4559106251 6209334894 9118212502 13677318753 24098133041 27354637506 48196266082 72294399123 144588798246 168686931287 337373862574 506060793861 1012121587722