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33100012000 = 255311752273
BaseRepresentation
bin11110110100111010…
…100001100111100000
310011102210111211101101
4132310322201213200
51020242100341000
623112252044144
72251151313466
oct366472414740
9104383454341
1033100012000
1113046103a20
1264b9163654
1331766c5723
141860046836
15cdad75e6a
hex7b4ea19e0

33100012000 has 96 divisors (see below), whose sum is σ = 88720186464. Its totient is φ = 12036352000.

The previous prime is 33100011949. The next prime is 33100012007. The reversal of 33100012000 is 21000133.

It is a super-2 number, since 2×331000120002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33100012007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332137 + ... + 420136.

It is an arithmetic number, because the mean of its divisors is an integer number (924168609).

Almost surely, 233100012000 is an apocalyptic number.

It is an amenable number.

33100012000 is an abundant number, since it is smaller than the sum of its proper divisors (55620174464).

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

33100012000 is a wasteful number, since it uses less digits than its factorization.

33100012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752309 (or 752291 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 33100012000 its reverse (21000133), we get a palindrome (33121012133).

It can be divided in two parts, 331000 and 12000, that added together give a cube (343000 = 703).

The spelling of 33100012000 in words is "thirty-three billion, one hundred million, twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 752273 1504546 3009092 3761365 6018184 7522730 8275003 12036368 15045460 16550006 18806825 24072736 30090920 33100012 37613650 41375015 60181840 66200024 75227300 82750030 94034125 120363680 132400048 150454600 165500060 188068250 206875075 264800096 300909200 331000120 376136500 413750150 601818400 662000240 752273000 827500300 1034375375 1324000480 1504546000 1655000600 2068750750 3009092000 3310001200 4137501500 6620002400 8275003000 16550006000 33100012000