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201011235000 = 2335427414889
BaseRepresentation
bin1011101100110100110…
…1000000100010111000
3201012211211002202010120
42323031031000202320
511243132334010000
6232202052213240
720344150210002
oct2731515004270
9635754082116
10201011235000
1178280669004
1232b5a30a220
1315c55991094
149a2c515372
1553671246a0
hex2ecd3408b8

201011235000 has 160 divisors (see below), whose sum is σ = 628316686800. Its totient is φ = 53572480000.

The previous prime is 201011234987. The next prime is 201011235023. The reversal of 201011235000 is 532110102.

201011235000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41112556 + ... + 41117444.

Almost surely, 2201011235000 is an apocalyptic number.

201011235000 is a gapful number since it is divisible by the number (20) 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 201011235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314158343400).

201011235000 is an abundant number, since it is smaller than the sum of its proper divisors (427305451800).

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

201011235000 is a wasteful number, since it uses less digits than its factorization.

201011235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7659 (or 7640 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 201011235000 its reverse (532110102), we get a palindrome (201543345102).

The spelling of 201011235000 in words is "two hundred one billion, eleven million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 750 1000 1250 1500 1875 2500 2741 3000 3750 4889 5000 5482 7500 8223 9778 10964 13705 14667 15000 16446 19556 21928 24445 27410 29334 32892 39112 41115 48890 54820 58668 65784 68525 73335 82230 97780 109640 117336 122225 137050 146670 164460 195560 205575 244450 274100 293340 328920 342625 366675 411150 488900 548200 586680 611125 685250 733350 822300 977800 1027875 1222250 1370500 1466700 1644600 1713125 1833375 2055750 2444500 2741000 2933400 3055625 3426250 3666750 4111500 4889000 5139375 6111250 6852500 7333500 8223000 9166875 10278750 12222500 13400749 13705000 14667000 18333750 20557500 24445000 26801498 36667500 40202247 41115000 53602996 67003745 73335000 80404494 107205992 134007490 160808988 201011235 268014980 321617976 335018725 402022470 536029960 670037450 804044940 1005056175 1340074900 1608089880 1675093625 2010112350 2680149800 3350187250 4020224700 5025280875 6700374500 8040449400 8375468125 10050561750 13400749000 16750936250 20101123500 25126404375 33501872500 40202247000 50252808750 67003745000 100505617500 201011235000