Search a number
-
+
3322132120000 = 2654292863907
BaseRepresentation
bin110000010101111110100…
…000010100000111000000
3102202121000002200111020101
4300111332200110013000
5413412211310320000
611022055540452144
7462005350045561
oct60257640240700
912677002614211
103322132120000
1110709a9a79341
12457a273aa054
131b137798c1b5
14b6b1356c168
155b639e2ce6a
hex3057e8141c0

3322132120000 has 140 divisors (see below), whose sum is σ = 8521873283880. Its totient is φ = 1283029888000.

The previous prime is 3322132119997. The next prime is 3322132120001. The reversal of 3322132120000 is 212312233.

It is a super-2 number, since 2×33221321200002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3322132120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322132120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 271954 + ... + 2591953.

Almost surely, 23322132120000 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 3322132120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260936641940).

3322132120000 is an abundant number, since it is smaller than the sum of its proper divisors (5199741163880).

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

3322132120000 is an equidigital number, since it uses as much as digits as its factorization.

3322132120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863968 (or 2863943 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 3322132120000 its reverse (212312233), we get a palindrome (3322344432233).

The spelling of 3322132120000 in words is "three trillion, three hundred twenty-two billion, one hundred thirty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 580 625 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 8000 9280 10000 11600 14500 18125 20000 23200 29000 36250 40000 46400 58000 72500 116000 145000 232000 290000 580000 1160000 2863907 5727814 11455628 14319535 22911256 28639070 45822512 57278140 71597675 83053303 91645024 114556280 143195350 166106606 183290048 229112560 286390700 332213212 357988375 415266515 458225120 572781400 664426424 715976750 830533030 916450240 1145562800 1328852848 1431953500 1661066060 1789941875 2076332575 2291125600 2657705696 2863907000 3322132120 3579883750 4152665150 4582251200 5315411392 5727814000 6644264240 7159767500 8305330300 10381662875 11455628000 13288528480 14319535000 16610660600 20763325750 22911256000 26577056960 28639070000 33221321200 41526651500 51908314375 57278140000 66442642400 83053303000 103816628750 114556280000 132885284800 166106606000 207633257500 332213212000 415266515000 664426424000 830533030000 1661066060000 3322132120000