Search a number
-
+
1020221101002 = 232361837012083
BaseRepresentation
bin11101101100010011110…
…10101001001111001010
310121112100221222210021210
432312021322221033022
5113203403100213002
62100403314513550
7133465013163165
oct16661172511712
93545327883253
101020221101002
1136374523a414
12145885b958b6
137528b70806c
1437543c44adc
151b811b0896c
hexed89ea93ca

1020221101002 has 128 divisors (see below), whose sum is σ = 2194311555072. Its totient is φ = 315497952000.

The previous prime is 1020221101001. The next prime is 1020221101019. The reversal of 1020221101002 is 2001011220201.

It is not an unprimeable number, because it can be changed into a prime (1020221101001) 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, 489783453 + ... + 489785535.

It is an arithmetic number, because the mean of its divisors is an integer number (17143059024).

Almost surely, 21020221101002 is an apocalyptic number.

1020221101002 is an abundant number, since it is smaller than the sum of its proper divisors (1174090454070).

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

1020221101002 is a wasteful number, since it uses less digits than its factorization.

1020221101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020221101002 its reverse (2001011220201), we get a palindrome (3021232321203).

The spelling of 1020221101002 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred one thousand, two".

Divisors: 1 2 3 6 23 46 61 69 83 122 138 166 183 249 366 498 701 1402 1403 1909 2083 2103 2806 3818 4166 4206 4209 5063 5727 6249 8418 10126 11454 12498 15189 16123 30378 32246 42761 47909 48369 58183 85522 95818 96738 116366 116449 127063 128283 143727 172889 174549 232898 254126 256566 287454 345778 349098 349347 381189 518667 698694 762378 983503 1037334 1338209 1460183 1967006 2676418 2920366 2922449 2950509 3549163 3976447 4014627 4380549 5844898 5901018 7098326 7952894 8029254 8761098 8767347 10546229 10647489 11929341 17534694 21092458 21294978 23858682 31638687 33584209 63277374 67168418 81630749 89071163 100752627 121195189 163261498 178142326 201505254 242390378 242563267 244892247 267213489 363585567 485126534 489784494 534426978 727171134 727689801 1455379602 2048636749 2787489347 4097273498 5574978694 6145910247 7392906529 8362468041 12291820494 14785813058 16724936082 22178719587 44357439174 170036850167 340073700334 510110550501 1020221101002