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133201121200 = 24527238319963
BaseRepresentation
bin111110000001101100…
…1111100111110110000
3110201211000102001101021
41330003121330332300
54140243441334300
6141105230145224
712423563564140
oct1740331747660
9421730361337
10133201121200
1151543618944
1221994952214
13c73a1467a4
1466386a6920
1536e8dd3d1a
hex1f0367cfb0

133201121200 has 120 divisors (see below), whose sum is σ = 365904025088. Its totient is φ = 45647504640.

The previous prime is 133201121197. The next prime is 133201121237. The reversal of 133201121200 is 2121102331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6662419 + ... + 6682381.

Almost surely, 2133201121200 is an apocalyptic number.

133201121200 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 133201121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182952012544).

133201121200 is an abundant number, since it is smaller than the sum of its proper divisors (232702903888).

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

133201121200 is a wasteful number, since it uses less digits than its factorization.

133201121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22371 (or 22360 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 133201121200 its reverse (2121102331), we get a palindrome (135322223531).

The spelling of 133201121200 in words is "one hundred thirty-three billion, two hundred one million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2383 2800 4766 9532 11915 16681 19064 19963 23830 33362 38128 39926 47660 59575 66724 79852 83405 95320 99815 119150 133448 139741 159704 166810 190640 199630 238300 266896 279482 319408 333620 399260 417025 476600 499075 558964 667240 698705 798520 834050 953200 998150 1117928 1334480 1397410 1597040 1668100 1996300 2235856 2794820 3336200 3493525 3992600 5589640 6672400 6987050 7985200 11179280 13974100 27948200 47571829 55896400 95143658 190287316 237859145 333002803 380574632 475718290 666005606 761149264 951436580 1189295725 1332011212 1665014015 1902873160 2378591450 2664022424 3330028030 3805746320 4757182900 5328044848 6660056060 8325070075 9514365800 13320112120 16650140150 19028731600 26640224240 33300280300 66600560600 133201121200