Search a number
-
+
100330320100 = 22525971239509
BaseRepresentation
bin101110101110000100…
…1110011000011100100
3100120222012012100020111
41131130021303003210
53120434030220400
6114031402542404
710151164435603
oct1353411630344
9316865170214
10100330320100
113960593951a
1217540507a04
1395cc09511a
144bdac87a3a
1529232373ba
hex175c2730e4

100330320100 has 72 divisors (see below), whose sum is σ = 224526254400. Its totient is φ = 38896099200.

The previous prime is 100330320091. The next prime is 100330320133. The reversal of 100330320100 is 1023033001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299146 + ... + 538654.

It is an arithmetic number, because the mean of its divisors is an integer number (3118420200).

Almost surely, 2100330320100 is an apocalyptic number.

100330320100 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 100330320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112263127200).

100330320100 is an abundant number, since it is smaller than the sum of its proper divisors (124195934300).

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

100330320100 is a wasteful number, since it uses less digits than its factorization.

100330320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239653 (or 239646 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 100330320100 its reverse (1023033001), we get a palindrome (101353353101).

The spelling of 100330320100 in words is "one hundred billion, three hundred thirty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 71 100 118 142 236 284 295 355 590 710 1180 1420 1475 1775 2950 3550 4189 5900 7100 8378 16756 20945 41890 83780 104725 209450 239509 418900 479018 958036 1197545 2395090 4790180 5987725 11975450 14131031 17005139 23950900 28262062 34010278 56524124 68020556 70655155 85025695 141310310 170051390 282620620 340102780 353275775 425128475 706551550 850256950 1003303201 1413103100 1700513900 2006606402 4013212804 5016516005 10033032010 20066064020 25082580025 50165160050 100330320100