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2102023033104 = 2431719166381527
BaseRepresentation
bin11110100101101010010…
…101100001000100010000
321102221200121011220220210
4132211222111201010100
5233414420344024404
64245353412404120
7304603042656201
oct36455225410420
97387617156823
102102023033104
11740510225675
1229b477316640
131232b2224007
1473a4a4835a8
1539a29b29689
hex1e96a561110

2102023033104 has 160 divisors (see below), whose sum is σ = 6055978106880. Its totient is φ = 624366544896.

The previous prime is 2102023033093. The next prime is 2102023033129. The reversal of 2102023033104 is 4013303202012.

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 31 ways as a sum of consecutive naturals, for example, 25742389 + ... + 25823915.

It is an arithmetic number, because the mean of its divisors is an integer number (37849863168).

Almost surely, 22102023033104 is an apocalyptic number.

2102023033104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102023033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027989053440).

2102023033104 is an abundant number, since it is smaller than the sum of its proper divisors (3953955073776).

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

2102023033104 is a wasteful number, since it uses less digits than its factorization.

2102023033104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83237 (or 83231 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2102023033104 its reverse (4013303202012), we get a palindrome (6115326235116).

The spelling of 2102023033104 in words is "two trillion, one hundred two billion, twenty-three million, thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1663 1938 2584 3326 3876 4989 5168 6652 7752 9978 13304 15504 19956 26608 28271 31597 39912 56542 63194 79824 81527 84813 94791 113084 126388 163054 169626 189582 226168 244581 252776 326108 339252 379164 452336 489162 505552 537149 652216 678504 758328 978324 1074298 1304432 1357008 1385959 1516656 1549013 1611447 1956648 2148596 2771918 3098026 3222894 3913296 4157877 4297192 4647039 5543836 6196052 6445788 8315754 8594384 9294078 11087672 12392104 12891576 16631508 18588156 22175344 24784208 25783152 26333221 33263016 37176312 52666442 66526032 74352624 78999663 105332884 135579401 157999326 210665768 271158802 315998652 406738203 421331536 542317604 631997304 813476406 1084635208 1263994608 1626952812 2169270416 2304849817 2576008619 3253905624 4609699634 5152017238 6507811248 6914549451 7728025857 9219399268 10304034476 13829098902 15456051714 18438798536 20608068952 27658197804 30912103428 36877597072 41216137904 43792146523 55316395608 61824206856 87584293046 110632791216 123648413712 131376439569 175168586092 262752879138 350337172184 525505758276 700674344368 1051011516552 2102023033104