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133211433520 = 24511198989519
BaseRepresentation
bin111110000010000000…
…1010010101000110000
3110201211201210222020001
41330010001102220300
54140304111333040
6141110235155344
712424050334204
oct1740401225060
9421751728201
10133211433520
1151549421720
12219982a5b54
13c73c317559
146639bccb04
1536e9c6e59a
hex1f04052a30

133211433520 has 160 divisors (see below), whose sum is σ = 359655552000. Its totient is φ = 45374883840.

The previous prime is 133211433427. The next prime is 133211433529. The reversal of 133211433520 is 25334112331.

133211433520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (133211433529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1443321 + ... + 1532839.

It is an arithmetic number, because the mean of its divisors is an integer number (2247847200).

Almost surely, 2133211433520 is an apocalyptic number.

133211433520 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 133211433520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179827776000).

133211433520 is an abundant number, since it is smaller than the sum of its proper divisors (226444118480).

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

133211433520 is a wasteful number, since it uses less digits than its factorization.

133211433520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89651 (or 89645 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 133211433520 its reverse (25334112331), we get a palindrome (158545545851).

The spelling of 133211433520 in words is "one hundred thirty-three billion, two hundred eleven million, four hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 89 95 110 152 176 178 190 209 220 304 356 380 418 440 445 712 760 836 880 890 979 1045 1424 1520 1672 1691 1780 1958 2090 3344 3382 3560 3916 4180 4895 6764 7120 7832 8360 8455 9790 13528 15664 16720 16910 18601 19580 27056 33820 37202 39160 67640 74404 78320 89519 93005 135280 148808 179038 186010 297616 358076 372020 447595 716152 744040 895190 984709 1432304 1488080 1700861 1790380 1969418 3401722 3580760 3938836 4923545 6803444 7161520 7877672 7967191 8504305 9847090 13606888 15755344 15934382 17008610 18709471 19694180 27213776 31868764 34017220 37418942 39388360 39835955 63737528 68034440 74837884 78776720 79671910 87639101 93547355 127475056 136068880 149675768 151376629 159343820 175278202 187094710 299351536 302753258 318687640 350556404 374189420 438195505 605506516 637375280 701112808 748378840 756883145 876391010 1211013032 1402225616 1496757680 1513766290 1665142919 1752782020 2422026064 3027532580 3330285838 3505564040 6055065160 6660571676 7011128080 8325714595 12110130320 13321143352 16651429190 26642286704 33302858380 66605716760 133211433520