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1102059306 = 2321722361151
BaseRepresentation
bin100000110110000…
…0001011100101010
32211210201102011100
41001230001130222
54224111344211
6301204542230
736211230615
oct10154013452
92753642140
101102059306
115160a1517
122690b1976
131474220ca
14a651717c
1566b41156
hex41b0172a

1102059306 has 144 divisors (see below), whose sum is σ = 2708005248. Its totient is φ = 323136000.

The previous prime is 1102059241. The next prime is 1102059311. The reversal of 1102059306 is 6039502011.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1102059306.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7298331 + ... + 7298481.

It is an arithmetic number, because the mean of its divisors is an integer number (18805592).

Almost surely, 21102059306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102059306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354002624).

1102059306 is an abundant number, since it is smaller than the sum of its proper divisors (1605945942).

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

1102059306 is a wasteful number, since it uses less digits than its factorization.

1102059306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1102059306 is about 33197.2785932823. The cubic root of 1102059306 is about 1032.9238898376.

The spelling of 1102059306 in words is "one billion, one hundred two million, fifty-nine thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 61 69 102 122 138 151 153 183 207 289 302 306 366 391 414 453 549 578 782 867 906 1037 1098 1173 1359 1403 1734 2074 2346 2567 2601 2718 2806 3111 3473 3519 4209 5134 5202 6222 6647 6946 7038 7701 8418 9211 9333 10419 12627 13294 15402 17629 18422 18666 19941 20838 23103 23851 25254 27633 31257 35258 39882 43639 46206 47702 52887 55266 59041 59823 62514 71553 82899 87278 105774 118082 119646 130917 143106 156587 158661 165798 177123 211853 214659 261834 313174 317322 354246 392751 405467 423706 429318 469761 531369 635559 785502 810934 939522 1003697 1062738 1216401 1271118 1409283 1906677 2007394 2432802 2661979 2818566 3011091 3601501 3649203 3813354 5323958 6022182 7203002 7298406 7985937 9033273 10804503 15971874 18066546 21609006 23957811 32413509 47915622 61225517 64827018 122451034 183676551 367353102 551029653 1102059306