Search a number
-
+
1100133120300 = 223527946419119
BaseRepresentation
bin10000000000100101000…
…010110011100100101100
310220011122011112222110020
4100000211002303210230
5121011033034322200
62201221050442140
7142324216142244
oct20004502634454
93804564488406
101100133120300
11394622514275
12159268433350
137c985547096
143b36503ab24
151d93c4e8ea0
hex100250b392c

1100133120300 has 72 divisors (see below), whose sum is σ = 3223343692800. Its totient is φ = 289655296320.

The previous prime is 1100133120293. The next prime is 1100133120319. The reversal of 1100133120300 is 30213310011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1100133120300.

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, 23185860 + ... + 23233259.

It is an arithmetic number, because the mean of its divisors is an integer number (44768662400).

Almost surely, 21100133120300 is an apocalyptic number.

1100133120300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100133120300 is an abundant number, since it is smaller than the sum of its proper divisors (2123210572500).

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

1100133120300 is a wasteful number, since it uses less digits than its factorization.

1100133120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46419215 (or 46419208 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1100133120300 its reverse (30213310011), we get a palindrome (1130346430311).

The spelling of 1100133120300 in words is "one trillion, one hundred billion, one hundred thirty-three million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3950 4740 5925 7900 11850 23700 46419119 92838238 139257357 185676476 232095595 278514714 464191190 557029428 696286785 928382380 1160477975 1392573570 2320955950 2785147140 3481433925 3667110401 4641911900 6962867850 7334220802 11001331203 13925735700 14668441604 18335552005 22002662406 36671104010 44005324812 55006656015 73342208020 91677760025 110013312030 183355520050 220026624060 275033280075 366711040100 550066560150 1100133120300