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101394099328 = 27171392711237
BaseRepresentation
bin101111001101110001…
…1110010110010000000
3100200201022212221000011
41132123203302302000
53130123342134303
6114325123234304
710216432424014
oct1363343626200
9320638787004
10101394099328
113a001364605
1217798818994
13973b5a34a2
144c9c278544
15298681616d
hex179b8f2c80

101394099328 has 128 divisors (see below), whose sum is σ = 216386553600. Its totient is φ = 47158640640.

The previous prime is 101394099319. The next prime is 101394099329. The reversal of 101394099328 is 823990493101.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (101394099329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81967126 + ... + 81968362.

It is an arithmetic number, because the mean of its divisors is an integer number (1690519950).

Almost surely, 2101394099328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101394099328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108193276800).

101394099328 is an abundant number, since it is smaller than the sum of its proper divisors (114992454272).

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

101394099328 is a wasteful number, since it uses less digits than its factorization.

101394099328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The spelling of 101394099328 in words is "one hundred one billion, three hundred ninety-four million, ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 139 271 272 278 542 544 556 1084 1088 1112 1237 2168 2176 2224 2363 2474 4336 4448 4607 4726 4948 8672 8896 9214 9452 9896 17344 17792 18428 18904 19792 21029 34688 36856 37669 37808 39584 42058 73712 75338 75616 79168 84116 147424 150676 151232 158336 168232 171943 294848 301352 302464 335227 336464 343886 589696 602704 640373 670454 672928 687772 1205408 1280746 1340908 1345856 1375544 2410816 2561492 2681816 2691712 2751088 2923031 4821632 5122984 5363632 5502176 5698859 5846062 10245968 10727264 11004352 11397718 11692124 20491936 21454528 22008704 22795436 23384248 40983872 42909056 45590872 46596553 46768496 81967744 91181744 93193106 93536992 182363488 186386212 187073984 364726976 372772424 374147968 729453952 745544848 792141401 1491089696 1584282802 2982179392 3168565604 5964358784 6337131208 12674262416 25348524832 50697049664 101394099328