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130331013332103 = 324310314243229561
BaseRepresentation
bin11101101000100100001101…
…110000001011110010000111
3122002110112010101222211012200
4131220210031300023302013
5114040320403403111403
61141105124014245543
736311051002462023
oct3550441560136207
9562415111884180
10130331013332103
1138589088337a01
121274b0347b68b3
1357952146a347c
1424280aa167383
15101031e7e7ca3
hex76890dc0bc87

130331013332103 has 48 divisors (see below), whose sum is σ = 194518688542464. Its totient is φ = 84036491038080.

The previous prime is 130331013332057. The next prime is 130331013332129. The reversal of 130331013332103 is 301233310133031.

130331013332103 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 310 + 1 + 3 + 332 + 10 + 3 = 666.

It is not a de Polignac number, because 130331013332103 - 29 = 130331013331591 is a prime.

It is a super-3 number, since 3×1303310133321033 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130331013332603) 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, 567625443 + ... + 567855003.

It is an arithmetic number, because the mean of its divisors is an integer number (4052472677968).

Almost surely, 2130331013332103 is an apocalyptic number.

130331013332103 is a deficient number, since it is larger than the sum of its proper divisors (64187675210361).

130331013332103 is a wasteful number, since it uses less digits than its factorization.

130331013332103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243956 (or 243953 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 130331013332103 its reverse (301233310133031), we get a palindrome (431564323465134).

The spelling of 130331013332103 in words is "one hundred thirty trillion, three hundred thirty-one billion, thirteen million, three hundred thirty-two thousand, one hundred three".

Divisors: 1 3 9 43 103 129 309 387 927 4429 13287 14243 39861 42729 128187 229561 612449 688683 1467029 1837347 2066049 4401087 5512041 9871123 13203261 23644783 29613369 63082247 70934349 88840107 189246741 212803047 567740223 1016725669 3050177007 3269637323 9150531021 9808911969 29426735907 140594404889 336772644269 421783214667 1010317932807 1265349644001 3030953798421 14481223703567 43443671110701 130331013332103