Search a number
-
+
103023021333123 = 3253832705996167
BaseRepresentation
bin10111011011001011101010…
…100101110001101010000011
3111111202220102111021200212100
4113123023222211301222003
5102000412121430124443
61003040042253201443
730462111336406533
oct2733135245615203
9444686374250770
10103023021333123
112a90a8aa8131a1
12b67a675490283
13456404c294148
141b624ab38b4c3
15bd9cea1393d3
hex5db2ea971a83

103023021333123 has 48 divisors (see below), whose sum is σ = 153452784925440. Its totient is φ = 66571093522752.

The previous prime is 103023021333119. The next prime is 103023021333131. The reversal of 103023021333123 is 321333120320301.

103023021333123 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 302 + 1 + 3 + 331 + 23 = 666.

It is not a de Polignac number, because 103023021333123 - 22 = 103023021333119 is a prime.

It is a super-2 number, since 2×1030230213331232 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103023021333163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1071244786 + ... + 1071340952.

It is an arithmetic number, because the mean of its divisors is an integer number (3196933019280).

Almost surely, 2103023021333123 is an apocalyptic number.

103023021333123 is a deficient number, since it is larger than the sum of its proper divisors (50429763592317).

103023021333123 is a wasteful number, since it uses less digits than its factorization.

103023021333123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123368 (or 123365 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103023021333123 its reverse (321333120320301), we get a palindrome (424356141653424).

The spelling of 103023021333123 in words is "one hundred three trillion, twenty-three billion, twenty-one million, three hundred thirty-three thousand, one hundred twenty-three".

Divisors: 1 3 9 53 83 159 249 477 747 4399 13197 27059 39591 81177 96167 243531 288501 865503 1434127 2245897 4302381 5096851 6737691 7981861 12907143 15290553 20213073 23945583 45871659 71836749 119032541 357097623 423038633 1071292869 1269115899 2602182853 3807347697 7806548559 23419645677 137915691209 215981176799 413747073627 647943530397 1241241220881 1943830591191 11447002370347 34341007111041 103023021333123