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1022121200982 = 237612298831973
BaseRepresentation
bin11101101111110110010…
…10111100110101010110
310121201021101100212110010
432313323022330311112
5113221301011412412
62101320032341050
7133563054600240
oct16677312746526
93551241325403
101022121200982
1136452a853682
121461163a4786
137550227528b
1437684337090
151b8c383633c
hexedfb2bcd56

1022121200982 has 128 divisors (see below), whose sum is σ = 2388857103360. Its totient is φ = 285524144640.

The previous prime is 1022121200981. The next prime is 1022121200999. The reversal of 1022121200982 is 2890021212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022121200981) 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, 518053348 + ... + 518055320.

It is an arithmetic number, because the mean of its divisors is an integer number (18662946120).

Almost surely, 21022121200982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022121200982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194428551680).

1022121200982 is an abundant number, since it is smaller than the sum of its proper divisors (1366735902378).

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

1022121200982 is a wasteful number, since it uses less digits than its factorization.

1022121200982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 1022121200982 in words is "one trillion, twenty-two billion, one hundred twenty-one million, two hundred thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 61 122 183 229 366 427 458 687 854 883 1281 1374 1603 1766 1973 2562 2649 3206 3946 4809 5298 5919 6181 9618 11838 12362 13811 13969 18543 27622 27938 37086 41433 41907 53863 82866 83814 97783 107726 120353 161589 195566 202207 240706 293349 323178 361059 377041 404414 451817 586698 606621 722118 754082 842471 903634 1131123 1213242 1355451 1415449 1684942 1742159 2262246 2527413 2710902 2830898 3162719 3484318 4246347 5054826 5226477 6325438 8492694 9488157 10452954 12195113 12334627 18976314 24390226 24669254 27560837 36585339 37003881 55121674 73170678 74007762 82682511 86342389 106271699 165365022 172684778 192925859 212543398 259027167 318815097 385851718 398954411 518054334 578777577 637630194 743901893 797908822 1157555154 1196863233 1487803786 2231705679 2393726466 2792680877 4463411358 5585361754 8378042631 16756085262 24336219071 48672438142 73008657213 146017314426 170353533497 340707066994 511060600491 1022121200982