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101395064350 = 252174123312487
BaseRepresentation
bin101111001101110011…
…1011110011000011110
3100200201101200221202201
41132123213132120132
53130124114024400
6114325200042114
710216443553336
oct1363347363036
9320641627681
10101395064350
113a001963648
121779900333a
13973b8507c8
144c9c44a0c6
15298695706a
hex179b9de61e

101395064350 has 96 divisors (see below), whose sum is σ = 205453475136. Its totient is φ = 37078425600.

The previous prime is 101395064347. The next prime is 101395064377. The reversal of 101395064350 is 53460593101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8113807 + ... + 8126293.

It is an arithmetic number, because the mean of its divisors is an integer number (2140140366).

Almost surely, 2101395064350 is an apocalyptic number.

101395064350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101395064350 is an abundant number, since it is smaller than the sum of its proper divisors (104058410786).

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

101395064350 is a wasteful number, since it uses less digits than its factorization.

101395064350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12790 (or 12785 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The spelling of 101395064350 in words is "one hundred one billion, three hundred ninety-five million, sixty-four thousand, three hundred fifty".

Divisors: 1 2 5 10 17 25 34 41 50 82 85 170 205 233 410 425 466 697 850 1025 1165 1394 2050 2330 3485 3961 5825 6970 7922 9553 11650 12487 17425 19106 19805 24974 34850 39610 47765 62435 95530 99025 124870 162401 198050 212279 238825 312175 324802 424558 477650 511967 624350 812005 1023934 1061395 1624010 2122790 2559835 2909471 4060025 5119670 5306975 5818942 8120050 8703439 10613950 12799175 14547355 17406878 25598350 29094710 43517195 49461007 72736775 87034390 98922014 119288311 145473550 217585975 238576622 247305035 435171950 494610070 596441555 1192883110 1236525175 2027901287 2473050350 2982207775 4055802574 5964415550 10139506435 20279012870 50697532175 101395064350