Search a number
-
+
131103010320 = 24354871121689
BaseRepresentation
bin111101000011001011…
…0010010111000010000
3110112101210102222022220
41322012112102320100
54121444332312240
6140121120301040
712320566125612
oct1720626227020
9415353388286
10131103010320
1150667260107
12214aa171780
13c49456a769
1464b9b8cdb2
153624ae15d0
hex1e86592e10

131103010320 has 80 divisors (see below), whose sum is σ = 407254231680. Its totient is φ = 34888983552.

The previous prime is 131103010289. The next prime is 131103010373. The reversal of 131103010320 is 23010301131.

It is a tau number, because it is divible by the number of its divisors (80).

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 131103010320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443965 + ... + 677724.

It is an arithmetic number, because the mean of its divisors is an integer number (5090677896).

Almost surely, 2131103010320 is an apocalyptic number.

131103010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131103010320 is an abundant number, since it is smaller than the sum of its proper divisors (276151221360).

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

131103010320 is a wasteful number, since it uses less digits than its factorization.

131103010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122192 (or 1122186 counting only the distinct ones).

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

Adding to 131103010320 its reverse (23010301131), we get a palindrome (154113311451).

The spelling of 131103010320 in words is "one hundred thirty-one billion, one hundred three million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 487 974 1461 1948 2435 2922 3896 4870 5844 7305 7792 9740 11688 14610 19480 23376 29220 38960 58440 116880 1121689 2243378 3365067 4486756 5608445 6730134 8973512 11216890 13460268 16825335 17947024 22433780 26920536 33650670 44867560 53841072 67301340 89735120 134602680 269205360 546262543 1092525086 1638787629 2185050172 2731312715 3277575258 4370100344 5462625430 6555150516 8193938145 8740200688 10925250860 13110301032 16387876290 21850501720 26220602064 32775752580 43701003440 65551505160 131103010320