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1330233023000 = 23537337563897
BaseRepresentation
bin10011010110111000000…
…100010001101000011000
311201011120020010011001202
4103112320010101220120
5133243304123214000
62455033422133332
7165051262063520
oct23267004215030
94634506104052
101330233023000
1147316a953912
12195984421248
139859583976b
1448552930680
152490822cdd5
hex135b8111a18

1330233023000 has 128 divisors (see below), whose sum is σ = 3567985649280. Its totient is φ = 454725734400.

The previous prime is 1330233022969. The next prime is 1330233023017. The reversal of 1330233023000 is 3203320331.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2077052 + ... + 2640948.

It is an arithmetic number, because the mean of its divisors is an integer number (27874887885).

Almost surely, 21330233023000 is an apocalyptic number.

1330233023000 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 1330233023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783992824640).

1330233023000 is an abundant number, since it is smaller than the sum of its proper divisors (2237752626280).

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

1330233023000 is a wasteful number, since it uses less digits than its factorization.

1330233023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564262 (or 564248 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 1330233023000 its reverse (3203320331), we get a palindrome (1333436343331).

The spelling of 1330233023000 in words is "one trillion, three hundred thirty billion, two hundred thirty-three million, twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 337 350 500 674 700 875 1000 1348 1400 1685 1750 2359 2696 3370 3500 4718 6740 7000 8425 9436 11795 13480 16850 18872 23590 33700 42125 47180 58975 67400 84250 94360 117950 168500 235900 294875 337000 471800 563897 589750 1127794 1179500 2255588 2359000 2819485 3947279 4511176 5638970 7894558 11277940 14097425 15789116 19736395 22555880 28194850 31578232 39472790 56389700 70487125 78945580 98681975 112779400 140974250 157891160 190033289 197363950 281948500 380066578 394727900 493409875 563897000 760133156 789455800 950166445 986819750 1330233023 1520266312 1900332890 1973639500 2660466046 3800665780 3947279000 4750832225 5320932092 6651165115 7601331560 9501664450 10641864184 13302330230 19003328900 23754161125 26604660460 33255825575 38006657800 47508322250 53209320920 66511651150 95016644500 133023302300 166279127875 190033289000 266046604600 332558255750 665116511500 1330233023000