Search a number
-
+
3312223100120 = 23511101448116633
BaseRepresentation
bin110000001100101111111…
…000011001110011011000
3102201122102112010010101002
4300030233320121303120
5413231413103200440
611013340404044132
7461204655551024
oct60145770316330
912648375103332
103312223100120
111067784655010
12455b20993648
131b0458aa7b1c
14b645352d384
155b25a042115
hex3032fe19cd8

3312223100120 has 128 divisors (see below), whose sum is σ = 8212823254080. Its totient is φ = 1192181760000.

The previous prime is 3312223100093. The next prime is 3312223100149. The reversal of 3312223100120 is 210013222133.

3312223100120 is digitally balanced in base 2, 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 3312223100092 and 3312223100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199127324 + ... + 199143956.

Almost surely, 23312223100120 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 3312223100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106411627040).

3312223100120 is an abundant number, since it is smaller than the sum of its proper divisors (4900600153960).

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

3312223100120 is a wasteful number, since it uses less digits than its factorization.

3312223100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21237 (or 21233 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3312223100120 its reverse (210013222133), we get a palindrome (3522236322253).

The spelling of 3312223100120 in words is "three trillion, three hundred twelve billion, two hundred twenty-three million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 4481 5555 8888 8962 11110 16633 17924 22220 22405 33266 35848 44440 44810 49291 66532 83165 89620 98582 133064 166330 179240 182963 197164 246455 332660 365926 394328 452581 492910 665320 731852 905162 914815 985820 1463704 1679933 1810324 1829630 1971640 2262905 3359866 3620648 3659260 4525810 4978391 6719732 7318520 8399665 9051620 9956782 13439464 16799330 18103240 18479263 19913564 24891955 33598660 36958526 39827128 49783910 67197320 73917052 74532473 92396315 99567820 147834104 149064946 184792630 199135640 298129892 369585260 372662365 596259784 739170520 745324730 819857203 1490649460 1639714406 2981298920 3279428812 4099286015 6558857624 7527779773 8198572030 15055559546 16397144060 30111119092 32794288120 37638898865 60222238184 75277797730 82805577503 150555595460 165611155006 301111190920 331222310012 414027887515 662444620024 828055775030 1656111550060 3312223100120