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10203320123000 = 2353611232913567
BaseRepresentation
bin1001010001111010010101…
…0001010111111001111000
31100010102112220220122212022
42110132211101113321320
52314132344422414000
633411201320534012
72102110533024224
oct224364521277170
940112486818768
1010203320123000
113284227233824
12118957b321308
13590227284104
14273bb4147784
1512a629ae2585
hex947a5457e78

10203320123000 has 128 divisors (see below), whose sum is σ = 24270932275200. Its totient is φ = 4013799552000.

The previous prime is 10203320122991. The next prime is 10203320123011. The reversal of 10203320123000 is 32102330201.

It is a self number, because there is not a number n which added to its sum of digits gives 10203320123000.

It is a congruent number.

It is an unprimeable number.

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, 752062217 + ... + 752075783.

It is an arithmetic number, because the mean of its divisors is an integer number (189616658400).

Almost surely, 210203320123000 is an apocalyptic number.

10203320123000 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 10203320123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12135466137600).

10203320123000 is an abundant number, since it is smaller than the sum of its proper divisors (14067612152200).

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

10203320123000 is a wasteful number, since it uses less digits than its factorization.

10203320123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25978 (or 25964 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10203320123000 its reverse (32102330201), we get a palindrome (10235422453201).

The spelling of 10203320123000 in words is "ten trillion, two hundred three billion, three hundred twenty million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1220 1525 2440 3050 6100 7625 12200 12329 13567 15250 24658 27134 30500 49316 54268 61000 61645 67835 98632 108536 123290 135670 246580 271340 308225 339175 493160 542680 616450 678350 752069 827587 1232900 1356700 1504138 1541125 1655174 1695875 2465800 2713400 3008276 3082250 3310348 3391750 3760345 4137935 6016552 6164500 6620696 6783500 7520690 8275870 12329000 13567000 15041380 16551740 18801725 20689675 30082760 33103480 37603450 41379350 75206900 82758700 94008625 103448375 150413800 165517400 167267543 188017250 206896750 334535086 376034500 413793500 669070172 752069000 827587000 836337715 1338140344 1672675430 3345350860 4181688575 6690701720 8363377150 10203320123 16726754300 20406640246 20908442875 33453508600 40813280492 41816885750 51016600615 81626560984 83633771500 102033201230 167267543000 204066402460 255083003075 408132804920 510166006150 1020332012300 1275415015375 2040664024600 2550830030750 5101660061500 10203320123000