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1022212253214 = 2331719229255923
BaseRepresentation
bin11101110000000001001…
…10010010011000011110
310121201111201200210122000
432320000212102120132
5113221442314100324
62101333044103130
7133565241534525
oct16700046223036
93551451623560
101022212253214
11364577193559
12146140994aa6
13755180a5139
14376924794bc
151b8cb81e9c9
hexee0099261e

1022212253214 has 128 divisors (see below), whose sum is σ = 2542860864000. Its totient is φ = 302487519744.

The previous prime is 1022212253189. The next prime is 1022212253287. The reversal of 1022212253214 is 4123522122201.

1022212253214 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 122 + 532 + 1 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3866257 + ... + 4122179.

It is an arithmetic number, because the mean of its divisors is an integer number (19866100500).

Almost surely, 21022212253214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022212253214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271430432000).

1022212253214 is an abundant number, since it is smaller than the sum of its proper divisors (1520648610786).

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

1022212253214 is a wasteful number, since it uses less digits than its factorization.

1022212253214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256199 (or 256193 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1022212253214 its reverse (4123522122201), we get a palindrome (5145734375415).

The spelling of 1022212253214 in words is "one trillion, twenty-two billion, two hundred twelve million, two hundred fifty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 229 306 323 342 458 459 513 646 687 918 969 1026 1374 1938 2061 2907 3893 4122 4351 5814 6183 7786 8702 8721 11679 12366 13053 17442 23358 26106 35037 39159 70074 73967 78318 105111 117477 147934 210222 221901 234954 255923 443802 511846 665703 767769 1331406 1535538 1997109 2303307 3994218 4350691 4606614 4862537 6909921 8701382 9725074 13052073 13819842 14587611 26104146 29175222 39156219 43762833 58606367 78312438 82663129 87525666 117212734 117468657 131288499 165326258 175819101 234937314 247989387 262576998 351638202 495978774 527457303 743968161 996308239 1054914606 1113520973 1487936322 1582371909 1992616478 2227041946 2231904483 2988924717 3164743818 3340562919 4463808966 5977849434 6681125838 8966774151 10021688757 17933548302 18929856541 20043377514 26900322453 30065066271 37859713082 53800644906 56789569623 60130132542 113579139246 170368708869 340737417738 511106126607 1022212253214