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130554455031 = 327111343337013
BaseRepresentation
bin111100110010110100…
…1101110001111110111
3110110222120020110221100
41321211221232033313
54114333420030111
6135550443021143
712301155362220
oct1714551561767
9413876213840
10130554455031
115040564a430
122137650a7b3
13c407a14a30
146466d98247
1535e1886756
hex1e65a6e3f7

130554455031 has 96 divisors (see below), whose sum is σ = 259085578752. Its totient is φ = 61147457280.

The previous prime is 130554455029. The next prime is 130554455159.

130554455031 is a `hidden beast` number, since 1 + 30 + 5 + 5 + 44 + 550 + 31 = 666.

130554455031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 130554455031 - 21 = 130554455029 is a prime.

It is a super-2 number, since 2×1305544550312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130554453031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218881 + ... + 555893.

It is an arithmetic number, because the mean of its divisors is an integer number (2698808112).

Almost surely, 2130554455031 is an apocalyptic number.

130554455031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130554455031 is a deficient number, since it is larger than the sum of its proper divisors (128531123721).

130554455031 is a wasteful number, since it uses less digits than its factorization.

130554455031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337093 (or 337090 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 130554 and 455031, that added together give a palindrome (585585).

The spelling of 130554455031 in words is "one hundred thirty billion, five hundred fifty-four million, four hundred fifty-five thousand, thirty-one".

Divisors: 1 3 7 9 11 13 21 33 39 43 63 77 91 99 117 129 143 231 273 301 387 429 473 559 693 819 903 1001 1287 1419 1677 2709 3003 3311 3913 4257 5031 6149 9009 9933 11739 18447 29799 35217 43043 55341 129129 337013 387387 1011039 2359091 3033117 3707143 4381169 7077273 11121429 13143507 14491559 21231819 25950001 30668183 33364287 39430521 43474677 48192859 77850003 92004549 101440913 130424031 144578577 159407149 188390267 233550009 276013647 304322739 337350013 433735731 478221447 565170801 912968217 1012050039 1115850043 1318731869 1434664341 1695512403 2072292937 3036150117 3347550129 3956195607 6216878811 10042650387 11868586821 14506050559 18650636433 43518151677 130554455031