Search a number
-
+
1100102300 = 2252111789661
BaseRepresentation
bin100000110010010…
…0011101010011100
32211200000222122122
41001210203222130
54223111233200
6301055002112
736155500223
oct10144435234
92750028578
101100102300
11514a85160
12268509338
13146bb840b
14a6167cba
15668a6385
hex41923a9c

1100102300 has 144 divisors (see below), whose sum is σ = 2792633760. Its totient is φ = 371712000.

The previous prime is 1100102287. The next prime is 1100102323. The reversal of 1100102300 is 32010011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1663970 + ... + 1664630.

It is an arithmetic number, because the mean of its divisors is an integer number (19393290).

Almost surely, 21100102300 is an apocalyptic number.

1100102300 is a gapful number since it is divisible by the number (10) 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 1100102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396316880).

1100102300 is an abundant number, since it is smaller than the sum of its proper divisors (1692531460).

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

1100102300 is a wasteful number, since it uses less digits than its factorization.

1100102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1100102300 is about 33167.7900982263. The cubic root of 1100102300 is about 1032.3121151480.

Adding to 1100102300 its reverse (32010011), we get a palindrome (1132112311).

The spelling of 1100102300 in words is "one billion, one hundred million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 89 100 110 170 178 187 220 275 340 356 374 425 445 550 661 748 850 890 935 979 1100 1322 1513 1700 1780 1870 1958 2225 2644 3026 3305 3740 3916 4450 4675 4895 6052 6610 7271 7565 8900 9350 9790 11237 13220 14542 15130 16525 16643 18700 19580 22474 24475 29084 30260 33050 33286 36355 37825 44948 48950 56185 58829 66100 66572 72710 75650 83215 97900 112370 117658 123607 145420 151300 166430 181775 224740 235316 247214 280925 294145 332860 363550 416075 494428 561850 588290 618035 647119 727100 832150 1000093 1123700 1176580 1236070 1294238 1470725 1664300 2000186 2472140 2588476 2941450 3090175 3235595 4000372 5000465 5882900 6180350 6471190 10000930 11001023 12360700 12942380 16177975 20001860 22002046 25002325 32355950 44004092 50004650 55005115 64711900 100009300 110010230 220020460 275025575 550051150 1100102300