Search a number
-
+
102023133223 = 112337412411103
BaseRepresentation
bin101111100000100001…
…1010111100000100111
3100202100011112011021211
41133001003113200213
53132420410230343
6114511353452251
710241141216044
oct1370103274047
9322304464254
10102023133223
113a2a4443030
1217933411087
13980b9c63ab
144d1ba1c1cb
1529c1b6b79d
hex17c10d7827

102023133223 has 64 divisors (see below), whose sum is σ = 122803236864. Its totient is φ = 83787264000.

The previous prime is 102023133187. The next prime is 102023133227. The reversal of 102023133223 is 322331320201.

It is not a de Polignac number, because 102023133223 - 225 = 101989578791 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102023133194 and 102023133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102023133227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92495490 + ... + 92496592.

It is an arithmetic number, because the mean of its divisors is an integer number (1918800576).

Almost surely, 2102023133223 is an apocalyptic number.

102023133223 is a deficient number, since it is larger than the sum of its proper divisors (20780103641).

102023133223 is a wasteful number, since it uses less digits than its factorization.

102023133223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 102023133223 its reverse (322331320201), we get a palindrome (424354453424).

The spelling of 102023133223 in words is "one hundred two billion, twenty-three million, one hundred thirty-three thousand, two hundred twenty-three".

Divisors: 1 11 23 37 41 241 253 407 451 851 943 1103 1517 2651 5543 8917 9361 9881 10373 12133 16687 25369 34891 40811 45223 60973 98087 108691 205091 227263 265823 279059 365597 383801 448921 497453 938653 1040129 1673251 2256001 2499893 2924053 4021567 6113929 8408731 9835451 10325183 10898743 11441419 18405761 38484773 67253219 92496041 108189961 119886173 226215373 250671089 403253491 423332503 2488369103 2757381979 4435788401 9274830293 102023133223