Search a number
-
+
100322401300 = 225211432120981
BaseRepresentation
bin101110101101110101…
…1100101110000010100
3100120221122022000200121
41131123223211300110
53120430013320200
6114030521121324
710151040224662
oct1353353456024
9316848260617
10100322401300
113960141aa60
1217539929244
1395ca551944
144bd9bc5c32
1529226c0e1a
hex175bae5c14

100322401300 has 72 divisors (see below), whose sum is σ = 243013633632. Its totient is φ = 35632464000.

The previous prime is 100322401279. The next prime is 100322401313. The reversal of 100322401300 is 3104223001.

It is a happy number.

It is a congruent number.

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, 1013191 + ... + 1107790.

It is an arithmetic number, because the mean of its divisors is an integer number (3375189356).

Almost surely, 2100322401300 is an apocalyptic number.

100322401300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100322401300 is an abundant number, since it is smaller than the sum of its proper divisors (142691232332).

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

100322401300 is a wasteful number, since it uses less digits than its factorization.

100322401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121049 (or 2121042 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100322401300 its reverse (3104223001), we get a palindrome (103426624301).

The spelling of 100322401300 in words is "one hundred billion, three hundred twenty-two million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 215 220 275 430 473 550 860 946 1075 1100 1892 2150 2365 4300 4730 9460 11825 23650 47300 2120981 4241962 8483924 10604905 21209810 23330791 42419620 46661582 53024525 91202183 93323164 106049050 116653955 182404366 212098100 233307910 364808732 456010915 466615820 583269775 912021830 1003224013 1166539550 1824043660 2006448026 2280054575 2333079100 4012896052 4560109150 5016120065 9120218300 10032240130 20064480260 25080600325 50161200650 100322401300