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101320303310312 = 23191636439676577
BaseRepresentation
bin10111000010011001111000…
…101011111111010111101000
3111021202010102010221000021212
4113002121320223333113220
5101240012440121412222
6555253523232452252
730225102366125312
oct2702317053772750
9437663363830255
10101320303310312
112a313776892969
12b4446786aa088
13446c604704768
141b03d00a787b2
15baa890dc56e2
hex5c2678aff5e8

101320303310312 has 128 divisors (see below), whose sum is σ = 201753090739200. Its totient is φ = 47568720503808.

The previous prime is 101320303310299. The next prime is 101320303310333. The reversal of 101320303310312 is 213013303023101.

It is a super-3 number, since 3×1013203033103123 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15405242768 + ... + 15405249344.

It is an arithmetic number, because the mean of its divisors is an integer number (1576196021400).

Almost surely, 2101320303310312 is an apocalyptic number.

It is an amenable number.

101320303310312 is a deficient number, since it is larger than the sum of its proper divisors (100432787428888).

101320303310312 is a wasteful number, since it uses less digits than its factorization.

101320303310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375 (or 8371 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 101320303310312 its reverse (213013303023101), we get a palindrome (314333606333413).

The spelling of 101320303310312 in words is "one hundred one trillion, three hundred twenty billion, three hundred three million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 4 8 19 38 76 152 163 326 643 652 967 1286 1304 1934 2572 3097 3868 5144 6194 6577 7736 12217 12388 13154 18373 24434 24776 26308 36746 48868 52616 73492 97736 104809 124963 146984 157621 209618 249926 315242 419236 499852 621781 630484 838472 999704 1072051 1243562 1260968 1991371 2144102 2487124 2994799 3982742 4229011 4288204 4974248 5989598 6359959 7965484 8458022 8576408 11813839 11979196 12719918 15930968 16916044 20368969 23627678 23958392 25439836 33832088 40737938 47255356 50879672 80351209 81475876 94510712 101350303 120839221 160702418 162951752 202700606 241678442 321404836 405401212 483356884 642809672 689328793 810802424 966713768 1036673317 1378657586 1925655757 2073346634 2757315172 3851311514 4089453637 4146693268 5514630344 7702623028 8178907274 8293386536 13097247067 15405246056 16357814548 19696793023 26194494134 32715629096 39393586046 52388988268 77699619103 78787172092 104777976536 155399238206 157574344184 310798476412 621596952824 666580942831 1333161885662 2666323771324 5332647542648 12665037913789 25330075827578 50660151655156 101320303310312