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103313002023 = 327112127710613
BaseRepresentation
bin110000000110111101…
…1110100111000100111
3100212200001122021122100
41200031323310320213
53143041112031043
6115243352103143
710315123012350
oct1401573647047
9325601567570
10103313002023
113a8a6550600
1218033394ab3
139985cc4b7a
145001062d27
152a4a009cd3
hex180def4e27

103313002023 has 72 divisors (see below), whose sum is σ = 187626819744. Its totient is φ = 53622011520.

The previous prime is 103313002003. The next prime is 103313002081. The reversal of 103313002023 is 320200313301.

103313002023 is a `hidden beast` number, since 10 + 331 + 300 + 2 + 0 + 23 = 666.

It is not a de Polignac number, because 103313002023 - 212 = 103312997927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103313001987 and 103313002005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313002003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9729265 + ... + 9739877.

It is an arithmetic number, because the mean of its divisors is an integer number (2605928052).

Almost surely, 2103313002023 is an apocalyptic number.

103313002023 is a deficient number, since it is larger than the sum of its proper divisors (84313817721).

103313002023 is a wasteful number, since it uses less digits than its factorization.

103313002023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11925 (or 11911 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103313002023 its reverse (320200313301), we get a palindrome (423513315324).

The spelling of 103313002023 in words is "one hundred three billion, three hundred thirteen million, two thousand, twenty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 363 693 847 1089 1277 2541 3831 7623 8939 10613 11493 14047 26817 31839 42141 74291 80451 95517 98329 116743 126423 154517 222873 294987 350229 463551 668619 817201 884961 1050687 1081619 1284173 1390653 2451603 3244857 3852519 7354809 8989211 9734571 11557557 13552801 26967633 40658403 80902899 94869607 121975209 149080811 284608821 447242433 853826463 1043565677 1341727299 1639888921 3130697031 4919666763 9392091093 11479222447 14759000289 34437667341 103313002023