Search a number
-
+
3333332121020 = 22511172293178933
BaseRepresentation
bin110000100000011010000…
…100111011010110111100
3102210122220122110111021222
4300200122010323112330
5414103131010333040
611031151151412512
7462553035352016
oct60403204732674
912718818414258
103333332121020
11107572709a930
1245a032224138
131b2441171435
14b7496c211b6
155ba93326bb5
hex3081a13b5bc

3333332121020 has 144 divisors (see below), whose sum is σ = 8139713385888. Its totient is φ = 1136919613440.

The previous prime is 3333332121001. The next prime is 3333332121047. The reversal of 3333332121020 is 201212333333.

It is a happy number.

It is a super-2 number, since 2×33333321210202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18539474 + ... + 18718406.

It is an arithmetic number, because the mean of its divisors is an integer number (56525787402).

Almost surely, 23333332121020 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 3333332121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069856692944).

3333332121020 is an abundant number, since it is smaller than the sum of its proper divisors (4806381264868).

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

3333332121020 is a wasteful number, since it uses less digits than its factorization.

3333332121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179280 (or 179261 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 3333332121020 its reverse (201212333333), we get a palindrome (3534544454353).

The spelling of 3333332121020 in words is "three trillion, three hundred thirty-three billion, three hundred thirty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 293 340 374 578 586 748 935 1156 1172 1445 1465 1870 2890 2930 3179 3223 3740 4981 5780 5860 6358 6446 9962 12716 12892 15895 16115 19924 24905 31790 32230 49810 54791 63580 64460 84677 99620 109582 169354 178933 219164 273955 338708 357866 423385 547910 715732 846770 894665 931447 1095820 1693540 1789330 1862894 1968263 3041861 3578660 3725788 3936526 4657235 6083722 7873052 9314470 9841315 12167444 15209305 18628940 19682630 30418610 33460471 39365260 51711637 52427369 60837220 66920942 103423274 104854738 133841884 167302355 206846548 209709476 258558185 262136845 334604710 517116370 524273690 568828007 576701059 669209420 891265273 1034232740 1048547380 1137656014 1153402118 1782530546 2275312028 2306804236 2844140035 2883505295 3565061092 4456326365 5688280070 5767010590 8912652730 9803918003 11376560140 11534021180 15151509641 17825305460 19607836006 30303019282 39215672012 49019590015 60606038564 75757548205 98039180030 151515096410 166666606051 196078360060 303030192820 333333212102 666666424204 833333030255 1666666060510 3333332121020