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33033123130 = 257217413112
BaseRepresentation
bin11110110000111011…
…010111010100111010
310011021010122112002211
4132300323113110322
51020122434420010
623101502245334
72246406625300
oct366073272472
9104233575084
1033033123130
1113011378367
12649a88684a
1331658a6007
1418551d4270
15cd506208a
hex7b0ed753a

33033123130 has 144 divisors (see below), whose sum is σ = 75264228648. Its totient is φ = 10366003200.

The previous prime is 33033123103. The next prime is 33033123133. The reversal of 33033123130 is 3132133033.

It can be written as a sum of positive squares in 4 ways, for example, as 22563945369 + 10469177761 = 150213^2 + 102319^2 .

It is not an unprimeable number, because it can be changed into a prime (33033123133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106215675 + ... + 106215985.

Almost surely, 233033123130 is an apocalyptic number.

33033123130 is an abundant number, since it is smaller than the sum of its proper divisors (42231105518).

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

33033123130 is a wasteful number, since it uses less digits than its factorization.

33033123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 33033123130 its reverse (3132133033), we get a palindrome (36165256163).

The spelling of 33033123130 in words is "thirty-three billion, thirty-three million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 41 49 70 82 85 98 119 170 205 238 245 287 311 410 490 574 595 622 697 833 1190 1394 1435 1555 1666 2009 2177 2870 3110 3485 4018 4165 4354 4879 5287 6970 8330 9758 10045 10574 10885 12751 15239 20090 21770 24395 25502 26435 30478 34153 37009 48790 52870 63755 68306 74018 76195 89257 96721 127510 152390 170765 178514 185045 193442 216767 259063 341530 370090 433534 446285 483605 518126 624799 677047 892570 967210 1083835 1249598 1295315 1354094 1517369 1644257 2167670 2590630 3034738 3123995 3288514 3385235 3965561 4739329 6247990 6770470 7586845 7931122 8221285 9478658 10621583 11509799 15173690 16442570 19827805 21243166 23019598 23696645 27758927 39655610 47393290 53107915 55517854 57548995 67414537 80568593 106215830 115097990 134829074 138794635 161137186 194312489 277589270 337072685 388624978 402842965 471901759 674145370 805685930 943803518 971562445 1943124890 2359508795 3303312313 4719017590 6606624626 16516561565 33033123130