Search a number
-
+
3000213012222 = 23217107293312737
BaseRepresentation
bin101011101010001010101…
…000010111111011111110
3101121211002000002102021200
4223222022220113323332
5343123414012342342
610214140121040330
7426521034555006
oct53521250277376
911554060072250
103000213012222
11a57424036a38
124055653260a6
13189bc39c1b3a
14a52d5305006
15530982bd94c
hex2ba8aa17efe

3000213012222 has 96 divisors (see below), whose sum is σ = 6970899997152. Its totient is φ = 929261248512.

The previous prime is 3000213012217. The next prime is 3000213012227. The reversal of 3000213012222 is 2222103120003.

3000213012222 is a `hidden beast` number, since 300 + 0 + 2 + 130 + 12 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (3000213012217) and next prime (3000213012227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3000213012195 and 3000213012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000213012227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9437038 + ... + 9749774.

It is an arithmetic number, because the mean of its divisors is an integer number (72613541637).

Almost surely, 23000213012222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000213012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485449998576).

3000213012222 is an abundant number, since it is smaller than the sum of its proper divisors (3970686984930).

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

3000213012222 is a wasteful number, since it uses less digits than its factorization.

3000213012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313162 (or 313159 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3000213012222 its reverse (2222103120003), we get a palindrome (5222316132225).

The spelling of 3000213012222 in words is "three trillion, two hundred thirteen million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 107 153 214 293 306 321 586 642 879 963 1758 1819 1926 2637 3638 4981 5274 5457 9962 10914 14943 16371 29886 31351 32742 44829 62702 89658 94053 188106 282159 312737 532967 564318 625474 938211 1065934 1598901 1876422 2814633 3197802 4796703 5316529 5629266 9593406 10633058 15949587 31899174 33462859 47848761 66925718 91631941 95697522 100388577 183263882 200777154 274895823 301165731 549791646 568868603 602331462 824687469 1137737206 1557742997 1649374938 1706605809 3115485994 3413211618 4673228991 5119817427 9346457982 9804617687 10239634854 14019686973 19609235374 28039373946 29413853061 58827706122 88241559183 166678500679 176483118366 333357001358 500035502037 1000071004074 1500106506111 3000213012222