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13033141000 = 23531110111731
BaseRepresentation
bin11000010001101010…
…11111001100001000
31020122022011011100221
430020311133030020
5203142441003000
65553133235424
7640654604425
oct141065371410
936568134327
1013033141000
115588960810
122638932b74
1312c9206569
148b8d14d4c
155142eb61a
hex308d5f308

13033141000 has 128 divisors (see below), whose sum is σ = 33602325120. Its totient is φ = 4692000000.

The previous prime is 13033140997. The next prime is 13033141007. The reversal of 13033141000 is 14133031.

It is not an unprimeable number, because it can be changed into a prime (13033141007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105135 + ... + 1116865.

It is an arithmetic number, because the mean of its divisors is an integer number (262518165).

Almost surely, 213033141000 is an apocalyptic number.

13033141000 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 13033141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16801162560).

13033141000 is an abundant number, since it is smaller than the sum of its proper divisors (20569184120).

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

13033141000 is a wasteful number, since it uses less digits than its factorization.

13033141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11864 (or 11850 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13033141000 its reverse (14133031), we get a palindrome (13047274031).

The spelling of 13033141000 in words is "thirteen billion, thirty-three million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 11731 12625 20200 22220 23462 25250 27775 44440 46924 50500 55550 58655 93848 101000 111100 117310 129041 138875 222200 234620 258082 277750 293275 469240 516164 555500 586550 645205 1032328 1111000 1173100 1184831 1290410 1466375 2346200 2369662 2580820 2932750 3226025 4739324 5161640 5865500 5924155 6452050 9478648 11731000 11848310 12904100 13033141 16130125 23696620 25808200 26066282 29620775 32260250 47393240 52132564 59241550 64520500 65165705 104265128 118483100 129041000 130331410 148103875 236966200 260662820 296207750 325828525 521325640 592415500 651657050 1184831000 1303314100 1629142625 2606628200 3258285250 6516570500 13033141000