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1022000210022 = 2311195917597853
BaseRepresentation
bin11101101111100111111…
…01011010000001100110
310121200221221200220001110
432313303331122001212
5113221024023210042
62101300031205450
7133560055311021
oct16676375320146
93550857626043
101022000210022
11364478525350
121460a1976886
13754b31922ac
14376722401b8
151b8b7dd709c
hexedf3f5a066

1022000210022 has 128 divisors (see below), whose sum is σ = 2388621312000. Its totient is φ = 288223678080.

The previous prime is 1022000210017. The next prime is 1022000210029. The reversal of 1022000210022 is 2200120002201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022000210029) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130137448 + ... + 130145300.

It is an arithmetic number, because the mean of its divisors is an integer number (18661104000).

Almost surely, 21022000210022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022000210022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194310656000).

1022000210022 is an abundant number, since it is smaller than the sum of its proper divisors (1366621101978).

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

1022000210022 is a wasteful number, since it uses less digits than its factorization.

1022000210022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1022000210022 its reverse (2200120002201), we get a palindrome (3222120212223).

The spelling of 1022000210022 in words is "one trillion, twenty-two billion, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 59 66 114 118 177 209 354 418 627 649 1121 1254 1298 1759 1947 2242 3363 3518 3894 5277 6726 7853 10554 12331 15706 19349 23559 24662 33421 36993 38698 47118 58047 66842 73986 86383 100263 103781 116094 149207 172766 200526 207562 259149 298414 311343 367631 447621 463327 518298 622686 735262 895242 926654 1102893 1141591 1389981 1641277 1971839 2205786 2283182 2779962 3282554 3424773 3943678 4923831 5096597 5915517 6849546 8803213 9847662 10193194 11831034 13813427 15289791 17606426 21690229 26409639 27626854 30579582 41440281 43380458 52819278 65070687 82880562 96835343 130141374 151947697 193670686 262455113 290506029 303895394 455843091 524910226 581012058 787365339 814992193 911686182 1574730678 1629984386 2444976579 2887006243 4889953158 5774012486 8661018729 8964914123 15484851667 17322037458 17929828246 26894742369 30969703334 46454555001 53789484738 92909110002 170333368337 340666736674 511000105011 1022000210022