Search a number
-
+
3012030121000 = 235353197288481
BaseRepresentation
bin101011110101001010111…
…111000100010000101000
3101122221120120001202001011
4223311022333010100220
5343322114202333000
610223412454433304
7430416625412125
oct53651277042050
911587516052034
103012030121000
11a6143853073a
12407902962834
1318b057cac7b4
14a5ad691574c
155353a9642ba
hex2bd4afc4428

3012030121000 has 128 divisors (see below), whose sum is σ = 7217611932960. Its totient is φ = 1176075264000.

The previous prime is 3012030120971. The next prime is 3012030121007. The reversal of 3012030121000 is 1210302103.

It can be written as a sum of positive squares in 16 ways, for example, as 67559446084 + 2944470674916 = 259922^2 + 1715946^2 .

It is a super-2 number, since 2×30120301210002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3012030121007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10296760 + ... + 10585240.

Almost surely, 23012030121000 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 3012030121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608805966480).

3012030121000 is an abundant number, since it is smaller than the sum of its proper divisors (4205581811960).

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

3012030121000 is a wasteful number, since it uses less digits than its factorization.

3012030121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288752 (or 288738 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 3012030121000 its reverse (1210302103), we get a palindrome (3013240423103).

The spelling of 3012030121000 in words is "three trillion, twelve billion, thirty million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 197 200 212 250 265 394 424 500 530 788 985 1000 1060 1325 1576 1970 2120 2650 3940 4925 5300 6625 7880 9850 10441 10600 13250 19700 20882 24625 26500 39400 41764 49250 52205 53000 83528 98500 104410 197000 208820 261025 288481 417640 522050 576962 1044100 1153924 1305125 1442405 2088200 2307848 2610250 2884810 5220500 5769620 7212025 10441000 11539240 14424050 15289493 28848100 30578986 36060125 56830757 57696200 61157972 72120250 76447465 113661514 122315944 144240500 152894930 227323028 284153785 288481000 305789860 382237325 454646056 568307570 611579720 764474650 1136615140 1420768925 1528949300 1911186625 2273230280 2841537850 3012030121 3057898600 3822373250 5683075700 6024060242 7103844625 7644746500 11366151400 12048120484 14207689250 15060150605 15289493000 24096240968 28415378500 30120301210 56830757000 60240602420 75300753025 120481204840 150601506050 301203012100 376503765125 602406024200 753007530250 1506015060500 3012030121000