Search a number
-
+
2300132110302 = 2321392569106187
BaseRepresentation
bin100001011110001010100…
…011101010111111011110
322010220001011100202222100
4201132022203222333132
5300141132310012202
64520355513425530
7325115263230555
oct41361243527736
98126034322870
102300132110302
11807531680554
1231194570b2a6
13138b9486a150
147d481380d9c
153ec7208541c
hex2178a8eafde

2300132110302 has 48 divisors (see below), whose sum is σ = 5367083445360. Its totient is φ = 707718646656.

The previous prime is 2300132110301. The next prime is 2300132110319. The reversal of 2300132110302 is 2030112310032.

2300132110302 is a `hidden beast` number, since 2 + 30 + 0 + 1 + 321 + 10 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300132110301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21608053 + ... + 21714239.

It is an arithmetic number, because the mean of its divisors is an integer number (111814238445).

Almost surely, 22300132110302 is an apocalyptic number.

2300132110302 is an abundant number, since it is smaller than the sum of its proper divisors (3066951335058).

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

2300132110302 is a wasteful number, since it uses less digits than its factorization.

2300132110302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198777 (or 198774 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2300132110302 its reverse (2030112310032), we get a palindrome (4330244420334).

The spelling of 2300132110302 in words is "two trillion, three hundred billion, one hundred thirty-two million, one hundred ten thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 92569 106187 185138 212374 277707 318561 555414 637122 833121 955683 1203397 1380431 1666242 1911366 2406794 2760862 3610191 4141293 7220382 8282586 10830573 12423879 21661146 24847758 9829624403 19659248806 29488873209 58977746418 88466619627 127785117239 176933239254 255570234478 383355351717 766710703434 1150066055151 2300132110302