Search a number
-
+
3033201100000 = 255573415507
BaseRepresentation
bin101100001000111000110…
…111111100010011100000
3101201222012222222220111111
4230020320313330103200
5344143443440200000
610241233334153104
7432066356644021
oct54107067742340
911658188886444
103033201100000
11a6a411a445a5
1240ba30ab2794
1319005015a3c6
14a6b44534c48
1553d793d6cba
hex2c238dfc4e0

3033201100000 has 144 divisors (see below), whose sum is σ = 7566305944176. Its totient is φ = 1196657280000.

The previous prime is 3033201099979. The next prime is 3033201100009. The reversal of 3033201100000 is 11023303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3033201100009) 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, 7092247 + ... + 7507753.

It is an arithmetic number, because the mean of its divisors is an integer number (52543791279).

Almost surely, 23033201100000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3033201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783152972088).

3033201100000 is an abundant number, since it is smaller than the sum of its proper divisors (4533104844176).

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

3033201100000 is an frugal number, since it uses more digits than its factorization.

3033201100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415615 (or 415587 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 3033201100000 its reverse (11023303), we get a palindrome (3033212123303).

The spelling of 3033201100000 in words is "three trillion, thirty-three billion, two hundred one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 625 730 800 1000 1168 1250 1460 1825 2000 2336 2500 2920 3125 3650 4000 5000 5840 6250 7300 9125 10000 11680 12500 14600 18250 20000 25000 29200 36500 45625 50000 58400 73000 91250 100000 146000 182500 228125 292000 365000 415507 456250 730000 831014 912500 1460000 1662028 1825000 2077535 3324056 3650000 4155070 6648112 7300000 8310140 10387675 13296224 16620280 20775350 30332011 33240560 41550700 51938375 60664022 66481120 83101400 103876750 121328044 151660055 166202800 207753500 242656088 259691875 303320110 332405600 415507000 485312176 519383750 606640220 758300275 831014000 970624352 1038767500 1213280440 1298459375 1516600550 1662028000 2077535000 2426560880 2596918750 3033201100 3791501375 4155070000 4853121760 5193837500 6066402200 7583002750 8310140000 10387675000 12132804400 15166005500 18957506875 20775350000 24265608800 30332011000 37915013750 41550700000 60664022000 75830027500 94787534375 121328044000 151660055000 189575068750 303320110000 379150137500 606640220000 758300275000 1516600550000 3033201100000