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333130220130 = 235298312793607
BaseRepresentation
bin1001101100100000001…
…10111100001001100010
31011211212102021120220010
410312100012330021202
520424222314021010
6413012104425350
733032164102401
oct4662006741142
91154772246803
10333130220130
11119309363014
1254690778256
132554c86cc66
14121a31ad638
1589eb000620
hex4d901bc262

333130220130 has 128 divisors (see below), whose sum is σ = 837933465600. Its totient is φ = 84648340224.

The previous prime is 333130220113. The next prime is 333130220147. The reversal of 333130220130 is 31022031333.

It is an interprime number because it is at equal distance from previous prime (333130220113) and next prime (333130220147).

It is a super-2 number, since 2×3331302201302 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333130220097 and 333130220106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92354787 + ... + 92358393.

It is an arithmetic number, because the mean of its divisors is an integer number (6546355200).

Almost surely, 2333130220130 is an apocalyptic number.

333130220130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 333130220130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418966732800).

333130220130 is an abundant number, since it is smaller than the sum of its proper divisors (504803245470).

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

333130220130 is a wasteful number, since it uses less digits than its factorization.

333130220130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 333130220130 its reverse (31022031333), we get a palindrome (364152251463).

The spelling of 333130220130 in words is "three hundred thirty-three billion, one hundred thirty million, two hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 83 87 145 166 174 249 290 415 435 498 830 870 1245 1279 2407 2490 2558 3607 3837 4814 6395 7214 7221 7674 10821 12035 12790 14442 18035 19185 21642 24070 36070 36105 37091 38370 54105 72210 74182 104603 106157 108210 111273 185455 209206 212314 222546 299381 313809 318471 370910 523015 530785 556365 598762 627618 636942 898143 1046030 1061570 1112730 1496905 1569045 1592355 1796286 2993810 3078553 3138090 3184710 4490715 4613353 6157106 8682049 8981430 9226706 9235659 13840059 15392765 17364098 18471318 23066765 26046147 27680118 30785530 43410245 46133530 46178295 52092294 69200295 86820490 92356590 130230735 133787237 138400590 260461470 267574474 382908299 401361711 668936185 765816598 802723422 1148724897 1337872370 1914541495 2006808555 2297449794 3829082990 4013617110 5743624485 11104340671 11487248970 22208681342 33313022013 55521703355 66626044026 111043406710 166565110065 333130220130