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100327170552 = 23376717834999
BaseRepresentation
bin101110101101111110…
…1110010000111111000
3100120221222021022212120
41131123331302013320
53120432223424202
6114031211241240
710151125610340
oct1353375620770
9316858238776
10100327170552
1139604088194
121753b449220
1395cb53169b
144bda6a7d20
152922d140bc
hex175bf721f8

100327170552 has 128 divisors (see below), whose sum is σ = 291148800000. Its totient is φ = 28215589248.

The previous prime is 100327170547. The next prime is 100327170557. The reversal of 100327170552 is 255071723001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100327170547) and next prime (100327170557).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100327170557) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20066949 + ... + 20071947.

It is an arithmetic number, because the mean of its divisors is an integer number (2274600000).

Almost surely, 2100327170552 is an apocalyptic number.

100327170552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100327170552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145574400000).

100327170552 is an abundant number, since it is smaller than the sum of its proper divisors (190821629448).

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

100327170552 is a wasteful number, since it uses less digits than its factorization.

100327170552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

Adding to 100327170552 its reverse (255071723001), we get a palindrome (355398893553).

The spelling of 100327170552 in words is "one hundred billion, three hundred twenty-seven million, one hundred seventy thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1783 1876 2814 3566 3752 4999 5349 5628 7132 9998 10698 11256 12481 14264 14997 19996 21396 24962 29994 34993 37443 39992 42792 49924 59988 69986 74886 99848 104979 119461 119976 139972 149772 209958 238922 279944 299544 334933 358383 419916 477844 669866 716766 836227 839832 955688 1004799 1339732 1433532 1672454 2009598 2344531 2508681 2679464 2867064 3344908 4019196 4689062 5017362 6689816 7033593 8038392 8913217 9378124 10034724 14067186 17826434 18756248 20069448 26739651 28134372 35652868 53479302 56268744 62392519 71305736 106958604 124785038 187177557 213917208 249570076 374355114 499140152 597185539 748710228 1194371078 1497420456 1791556617 2388742156 3583113234 4180298773 4777484312 7166226468 8360597546 12540896319 14332452936 16721195092 25081792638 33442390184 50163585276 100327170552