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133435100000 = 25551970229
BaseRepresentation
bin111110001000101011…
…0100000101101100000
3110202102022200101221202
41330101112200231200
54141233341200000
6141144345140332
712432434431106
oct1742126405540
9422368611852
10133435100000
11516536a9654
1221a3b18a6a8
13c776769a97
14665b7b1c76
15370e700dd5
hex1f115a0b60

133435100000 has 144 divisors (see below), whose sum is σ = 345641158800. Its totient is φ = 50564160000.

The previous prime is 133435099991. The next prime is 133435100003. The reversal of 133435100000 is 1534331.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133435100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1864886 + ... + 1935114.

It is an arithmetic number, because the mean of its divisors is an integer number (2400285825).

Almost surely, 2133435100000 is an apocalyptic number.

133435100000 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 133435100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172820579400).

133435100000 is an abundant number, since it is smaller than the sum of its proper divisors (212206058800).

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

133435100000 is an frugal number, since it uses more digits than its factorization.

133435100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70283 (or 70255 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 133435100000 its reverse (1534331), we get a palindrome (133436634331).

The spelling of 133435100000 in words is "one hundred thirty-three billion, four hundred thirty-five million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3125 3800 4000 4750 5000 6250 7600 9500 10000 11875 12500 15200 19000 20000 23750 25000 38000 47500 50000 59375 70229 76000 95000 100000 118750 140458 190000 237500 280916 351145 380000 475000 561832 702290 950000 1123664 1334351 1404580 1755725 1900000 2247328 2668702 2809160 3511450 5337404 5618320 6671755 7022900 8778625 10674808 11236640 13343510 14045800 17557250 21349616 26687020 28091600 33358775 35114500 42699232 43893125 53374040 56183200 66717550 70229000 87786250 106748080 133435100 140458000 166793875 175572500 213496160 219465625 266870200 280916000 333587750 351145000 438931250 533740400 667175500 702290000 833969375 877862500 1067480800 1334351000 1404580000 1667938750 1755725000 2668702000 3335877500 3511450000 4169846875 5337404000 6671755000 7022900000 8339693750 13343510000 16679387500 26687020000 33358775000 66717550000 133435100000