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33001030010 = 25133789127607
BaseRepresentation
bin11110101111000000…
…111100000101111010
310011011220021000121202
4132233000330011322
51020041230430020
623054354334202
72245540061324
oct365700740572
9104156230552
1033001030010
1112aa5248323
12648bb8a362
13315c04a3c0
141850c3c614
15cd2322e75
hex7af03c17a

33001030010 has 128 divisors (see below), whose sum is σ = 67071836160. Its totient is φ = 11610998784.

The previous prime is 33001030009. The next prime is 33001030019. The reversal of 33001030010 is 1003010033.

It is a junction number, because it is equal to n+sod(n) for n = 33001029973 and 33001030000.

It is not an unprimeable number, because it can be changed into a prime (33001030019) 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 63 ways as a sum of consecutive naturals, for example, 54367127 + ... + 54367733.

It is an arithmetic number, because the mean of its divisors is an integer number (523998720).

Almost surely, 233001030010 is an apocalyptic number.

33001030010 is an abundant number, since it is smaller than the sum of its proper divisors (34070806150).

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

33001030010 is a wasteful number, since it uses less digits than its factorization.

33001030010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880.

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 33001030010 its reverse (1003010033), we get a palindrome (34004040043).

The spelling of 33001030010 in words is "thirty-three billion, one million, thirty thousand, ten".

Divisors: 1 2 5 10 13 26 37 65 74 89 127 130 178 185 254 370 445 481 607 635 890 962 1157 1214 1270 1651 2314 2405 3035 3293 3302 4699 4810 5785 6070 6586 7891 8255 9398 11303 11570 15782 16465 16510 22459 22606 23495 32930 39455 42809 44918 46990 54023 56515 61087 77089 78910 85618 108046 112295 113030 122174 146939 154178 214045 224590 270115 291967 293878 305435 385445 418211 428090 540230 583934 610870 702299 734695 770890 836422 1002157 1404598 1459835 1469390 1998851 2004314 2091055 2852293 2919670 3511495 3997702 4182110 5010785 5436743 5704586 6860921 7022990 9994255 10021570 10873486 13721842 14261465 19988510 25985063 27183715 28522930 34304605 37079809 51970126 54367430 68609210 74159618 89191973 129925315 178383946 185399045 253854077 259850630 370798090 445959865 507708154 891919730 1269270385 2538540770 3300103001 6600206002 16500515005 33001030010