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102141003000 = 23353155921839
BaseRepresentation
bin101111100100000010…
…1000000010011111000
3100202122101022120020010
41133020011000103320
53133141044044000
6114531204101520
710244102125521
oct1371005002370
9322571276203
10102141003000
113a354a2a373
12179669948a0
13982a25581a
144d2d541848
1529cc1a0d50
hex17c81404f8

102141003000 has 128 divisors (see below), whose sum is σ = 318898944000. Its totient is φ = 27218883200.

The previous prime is 102141002987. The next prime is 102141003011. The reversal of 102141003000 is 300141201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4666081 + ... + 4687919.

It is an arithmetic number, because the mean of its divisors is an integer number (2491398000).

Almost surely, 2102141003000 is an apocalyptic number.

102141003000 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 102141003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159449472000).

102141003000 is an abundant number, since it is smaller than the sum of its proper divisors (216757941000).

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

102141003000 is a wasteful number, since it uses less digits than its factorization.

102141003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23422 (or 23408 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102141003000 its reverse (300141201), we get a palindrome (102441144201).

The spelling of 102141003000 in words is "one hundred two billion, one hundred forty-one million, 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 1559 3000 3118 4677 6236 7795 9354 12472 15590 18708 21839 23385 31180 37416 38975 43678 46770 62360 65517 77950 87356 93540 109195 116925 131034 155900 174712 187080 194875 218390 233850 262068 311800 327585 389750 436780 467700 524136 545975 584625 655170 779500 873560 935400 1091950 1169250 1310340 1559000 1637925 2183900 2338500 2620680 2729875 3275850 4367800 4677000 5459750 6551700 8189625 10919500 13103400 16379250 21839000 32758500 34047001 65517000 68094002 102141003 136188004 170235005 204282006 272376008 340470010 408564012 510705015 680940020 817128024 851175025 1021410030 1361880040 1702350050 2042820060 2553525075 3404700100 4085640120 4255875125 5107050150 6809400200 8511750250 10214100300 12767625375 17023500500 20428200600 25535250750 34047001000 51070501500 102141003000