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131434101 = 32374367137
BaseRepresentation
bin1111101010110…
…00011001110101
3100011022112200200
413311120121311
5232121342401
621013031113
73154112541
oct765303165
9304275620
10131434101
1168211427
1238025499
13212cb476
1413654a21
15b813686
hex7d58675

131434101 has 48 divisors (see below), whose sum is σ = 203970624. Its totient is φ = 81430272.

The previous prime is 131434081. The next prime is 131434109. The reversal of 131434101 is 101434131.

131434101 is a `hidden beast` number, since 131 + 434 + 101 = 666.

It is not a de Polignac number, because 131434101 - 214 = 131417717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131434109) 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, 959305 + ... + 959441.

It is an arithmetic number, because the mean of its divisors is an integer number (4249388).

Almost surely, 2131434101 is an apocalyptic number.

It is an amenable number.

131434101 is a deficient number, since it is larger than the sum of its proper divisors (72536523).

131434101 is a wasteful number, since it uses less digits than its factorization.

131434101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131434101 is about 11464.4712481649. The cubic root of 131434101 is about 508.4356795687.

Adding to 131434101 its reverse (101434131), we get a palindrome (232868232).

The spelling of 131434101 in words is "one hundred thirty-one million, four hundred thirty-four thousand, one hundred one".

Divisors: 1 3 9 37 43 67 111 129 137 201 333 387 411 603 1233 1591 2479 2881 4773 5069 5891 7437 8643 9179 14319 15207 17673 22311 25929 27537 45621 53019 82611 106597 217967 319791 339623 394697 653901 959373 1018869 1184091 1961703 3056607 3552273 14603789 43811367 131434101