Search a number
-
+
123202321332030 = 232523167356395387
BaseRepresentation
bin11100000000110101000110…
…100110010011011100111110
3121011020000201121022212210100
4130000311012212103130332
5112122021323230111110
61114010210504421530
734644034242324153
oct3400650646233476
9534200647285710
10123202321332030
113628a8a1572206
12119995281778a6
135398c1017c695
14225d04a46a22a
15e39b96005bc0
hex700d4699373e

123202321332030 has 96 divisors (see below), whose sum is σ = 336254771833344. Its totient is φ = 31237342792128.

The previous prime is 123202321332019. The next prime is 123202321332157. The reversal of 123202321332030 is 30233123202321.

123202321332030 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 2 + 321 + 332 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 123202321331985 and 123202321332003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177852004 + ... + 178543383.

It is an arithmetic number, because the mean of its divisors is an integer number (3502653873264).

Almost surely, 2123202321332030 is an apocalyptic number.

123202321332030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123202321332030 is an abundant number, since it is smaller than the sum of its proper divisors (213052450501314).

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

123202321332030 is a wasteful number, since it uses less digits than its factorization.

123202321332030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356395590 (or 356395587 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 123202321332030 its reverse (30233123202321), we get a palindrome (153435444534351).

The spelling of 123202321332030 in words is "one hundred twenty-three trillion, two hundred two billion, three hundred twenty-one million, three hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 167 207 230 334 345 414 501 690 835 1002 1035 1503 1670 2070 2505 3006 3841 5010 7515 7682 11523 15030 19205 23046 34569 38410 57615 69138 115230 172845 345690 356395387 712790774 1069186161 1781976935 2138372322 3207558483 3563953870 5345930805 6415116966 8197093901 10691861610 16037792415 16394187802 24591281703 32075584830 40985469505 49182563406 59518029629 73773845109 81970939010 119036059258 122956408515 147547690218 178554088887 245912817030 297590148145 357108177774 368869225545 535662266661 595180296290 737738451090 892770444435 1071324533322 1368914681467 1785540888870 2678311333305 2737829362934 4106744044401 5356622666610 6844573407335 8213488088802 12320232133203 13689146814670 20533720222005 24640464266406 41067440444010 61601160666015 123202321332030