Search a number
-
+
101464545 = 3573133741
BaseRepresentation
bin1100000110000…
…11100111100001
321001220221012010
412003003213201
5201433331140
614022423133
72341302000
oct603034741
9231827163
10101464545
11523018a6
1229b91aa9
13180372c0
14d692c37
158d93880
hex60c39e1

101464545 has 128 divisors (see below), whose sum is σ = 214502400. Its totient is φ = 40642560.

The previous prime is 101464537. The next prime is 101464549. The reversal of 101464545 is 545464101.

It is not a de Polignac number, because 101464545 - 23 = 101464537 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101464549) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2474725 + ... + 2474765.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2101464545 is an apocalyptic number.

101464545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101464545 is an abundant number, since it is smaller than the sum of its proper divisors (113037855).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101464545 is a wasteful number, since it uses less digits than its factorization.

101464545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 101464545 is about 10072.9610840110. The cubic root of 101464545 is about 466.4138491715.

The spelling of 101464545 in words is "one hundred one million, four hundred sixty-four thousand, five hundred forty-five".

Divisors: 1 3 5 7 13 15 21 35 37 39 41 49 65 91 105 111 123 147 185 195 205 245 259 273 287 343 455 481 533 555 615 637 735 777 861 1029 1295 1365 1435 1443 1517 1599 1715 1813 1911 2009 2405 2665 3185 3367 3731 3885 4305 4459 4551 5145 5439 6027 7215 7585 7995 9065 9555 10045 10101 10619 11193 12691 13377 14063 16835 18655 19721 22295 22755 23569 26117 27195 30135 31857 38073 42189 50505 53095 55965 59163 63455 66885 70315 70707 74333 78351 98605 117845 130585 138047 159285 164983 182819 190365 210945 222999 295815 353535 371665 391755 414141 494949 520331 548457 690235 824915 914095 966329 1114995 1560993 2070705 2474745 2601655 2742285 2898987 4831645 6764303 7804965 14494935 20292909 33821515 101464545