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102123103302300 = 223524337511046827
BaseRepresentation
bin10111001110000101100011…
…010010111011001010011100
3111101120212120122202002012110
4113032011203102323022130
5101341141103421133200
61001110412254434020
730340102462353303
oct2716054322731234
9441525518662173
10102123103302300
112a5a318a51a023
12b554184802910
1344ca2237a7812
141b30adac2143a
15bc16c9deeb50
hex5ce1634bb29c

102123103302300 has 144 divisors (see below), whose sum is σ = 296553207491072. Its totient is φ = 27133729920000.

The previous prime is 102123103302271. The next prime is 102123103302329. The reversal of 102123103302300 is 3203301321201.

102123103302300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102123103302271) and next prime (102123103302329).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97031487 + ... + 98078313.

Almost surely, 2102123103302300 is an apocalyptic number.

102123103302300 is a gapful number since it is divisible by the number (10) 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 102123103302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148276603745536).

102123103302300 is an abundant number, since it is smaller than the sum of its proper divisors (194430104188772).

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

102123103302300 is a wasteful number, since it uses less digits than its factorization.

102123103302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048028 (or 1048021 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102123103302300 its reverse (3203301321201), we get a palindrome (105326404623501).

The spelling of 102123103302300 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred three million, three hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 433 751 866 1299 1502 1732 2165 2253 2598 3004 3755 4330 4506 5196 6495 7510 8660 9012 10825 11265 12990 15020 18775 21650 22530 25980 32475 37550 43300 45060 56325 64950 75100 112650 129900 225300 325183 650366 975549 1046827 1300732 1625915 1951098 2093654 3140481 3251830 3902196 4187308 4877745 5234135 6280962 6503660 8129575 9755490 10468270 12561924 15702405 16259150 19510980 20936540 24388725 26170675 31404810 32518300 48777450 52341350 62809620 78512025 97554900 104682700 157024050 314048100 453276091 786167077 906552182 1359828273 1572334154 1813104364 2266380455 2358501231 2719656546 3144668308 3930835385 4532760910 4717002462 5439313092 6799141365 7861670770 9065521820 9434004924 11331902275 11792506155 13598282730 15723341540 19654176925 22663804550 23585012310 27196565460 33995706825 39308353850 45327609100 47170024620 58962530775 67991413650 78616707700 117925061550 135982827300 235850123100 340410344341 680820688682 1021231033023 1361641377364 1702051721705 2042462066046 3404103443410 4084924132092 5106155165115 6808206886820 8510258608525 10212310330230 17020517217050 20424620660460 25530775825575 34041034434100 51061551651150 102123103302300