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102121323000 = 23353310910949
BaseRepresentation
bin101111100011011100…
…1111011100111111000
3100202121000021201100020
41133012321323213320
53133121024314000
6114525222210440
710243442631444
oct1370671734770
9322530251306
10102121323000
113a344908504
1217960283a20
139826154c58
144d2aa9b824
1529ca5b4ba0
hex17c6e7b9f8

102121323000 has 128 divisors (see below), whose sum is σ = 318750120000. Its totient is φ = 27221107200.

The previous prime is 102121322993. The next prime is 102121323049. The reversal of 102121323000 is 323121201.

It is a super-2 number, since 2×1021213230002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 9321526 + ... + 9332474.

Almost surely, 2102121323000 is an apocalyptic number.

102121323000 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 102121323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159375060000).

102121323000 is an abundant number, since it is smaller than the sum of its proper divisors (216628797000).

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

102121323000 is a wasteful number, since it uses less digits than its factorization.

102121323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14082 (or 14068 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102121323000 its reverse (323121201), we get a palindrome (102444444201).

The spelling of 102121323000 in words is "one hundred two billion, one hundred twenty-one million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3109 6218 9327 10949 12436 15545 18654 21898 24872 31090 32847 37308 43796 46635 54745 62180 65694 74616 77725 87592 93270 109490 124360 131388 155450 164235 186540 218980 233175 262776 273725 310900 328470 373080 388625 437960 466350 547450 621800 656940 777250 821175 932700 1094900 1165875 1313880 1368625 1554500 1642350 1865400 2189800 2331750 2737250 3109000 3284700 4105875 4663500 5474500 6569400 8211750 9327000 10949000 16423500 32847000 34040441 68080882 102121323 136161764 170202205 204242646 272323528 340404410 408485292 510606615 680808820 816970584 851011025 1021213230 1361617640 1702022050 2042426460 2553033075 3404044100 4084852920 4255055125 5106066150 6808088200 8510110250 10212132300 12765165375 17020220500 20424264600 25530330750 34040441000 51060661500 102121323000