Search a number
-
+
130420354105431 = 321323434111116431
BaseRepresentation
bin11101101001110111011010…
…111000001100000001010111
3122002210001201201102100100100
4131221313122320030001113
5114043301341122333211
61141214141125145143
736320362645512645
oct3551673270140127
9562701651370310
10130420354105431
1138612a63928265
121276440885b1b3
1357a0781a60ba0
14242c5436a2195
1510127ecd58156
hex769ddae0c057

130420354105431 has 48 divisors (see below), whose sum is σ = 211701872858112. Its totient is φ = 76767334459200.

The previous prime is 130420354105423. The next prime is 130420354105441. The reversal of 130420354105431 is 134501453024031.

130420354105431 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 203 + 5 + 4 + 10 + 5 + 431 = 666.

It is not a de Polignac number, because 130420354105431 - 23 = 130420354105423 is a prime.

It is a super-3 number, since 3×1304203541054313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130420354105411) 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, 116260786 + ... + 117377216.

It is an arithmetic number, because the mean of its divisors is an integer number (4410455684544).

Almost surely, 2130420354105431 is an apocalyptic number.

130420354105431 is a deficient number, since it is larger than the sum of its proper divisors (81281518752681).

130420354105431 is a wasteful number, since it uses less digits than its factorization.

130420354105431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159884 (or 1159881 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 130420354105431 in words is "one hundred thirty trillion, four hundred twenty billion, three hundred fifty-four million, one hundred five thousand, four hundred thirty-one".

Divisors: 1 3 9 13 23 39 69 117 207 299 897 2691 43411 130233 390699 564343 998453 1116431 1693029 2995359 3349293 5079087 8986077 10047879 12979889 14513603 25677913 38939667 43540809 77033739 116819001 130622427 231101217 333812869 1001438607 3004315821 48465386141 145396158423 436188475269 630050019833 1114703881243 1890150059499 3344111643729 5670450178497 10032334931187 14491150456159 43473451368477 130420354105431