Search a number
-
+
3102030332232 = 23313192711930939
BaseRepresentation
bin101101001000111111011…
…010101000000101001000
3101222112212211100011220220
4231020333122220011020
5401310424231112412
610333015243350040
7440054126525406
oct55107732500510
911875784304826
103102030332232
11a966222864a7
1242123b822320
1319669bb76c60
14aa1d386a476
1555a56d3368c
hex2d23f6a8148

3102030332232 has 128 divisors (see below), whose sum is σ = 8823623424000. Its totient is φ = 900898433280.

The previous prime is 3102030332231. The next prime is 3102030332243. The reversal of 3102030332232 is 2322330302013.

It is a super-3 number, since 3×31020303322323 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3102030332231) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 641019 + ... + 2571957.

It is an arithmetic number, because the mean of its divisors is an integer number (68934558000).

Almost surely, 23102030332232 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 3102030332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411811712000).

3102030332232 is an abundant number, since it is smaller than the sum of its proper divisors (5721593091768).

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

3102030332232 is a wasteful number, since it uses less digits than its factorization.

3102030332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931251 (or 1931247 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 3102030332232 its reverse (2322330302013), we get a palindrome (5424360634245).

The spelling of 3102030332232 in words is "three trillion, one hundred two billion, thirty million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 271 312 456 494 542 741 813 988 1084 1482 1626 1976 2168 2964 3252 3523 5149 5928 6504 7046 10298 10569 14092 15447 20596 21138 28184 30894 41192 42276 61788 66937 84552 123576 133874 200811 267748 401622 535496 803244 1606488 1930939 3861878 5792817 7723756 11585634 15447512 23171268 25102207 36687841 46342536 50204414 73375682 75306621 100408828 110063523 146751364 150613242 200817656 220127046 293502728 301226484 440254092 476941933 523284469 602452968 880508184 953883866 1046568938 1430825799 1569853407 1907767732 2093137876 2861651598 3139706814 3815535464 4186275752 5723303196 6279413628 6802698097 9942404911 11446606392 12558827256 13605396194 19884809822 20408094291 27210792388 29827214733 39769619644 40816188582 54421584776 59654429466 79539239288 81632377164 119308858932 129251263843 163264754328 238617717864 258502527686 387753791529 517005055372 775507583058 1034010110744 1551015166116 3102030332232