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13332332000 = 255313256391
BaseRepresentation
bin11000110101010101…
…10011110111100000
31021102011010122021002
430122222303313200
5204301034111000
610042542051132
7651246644411
oct143252636740
937364118232
1013332332000
1157218323a9
122700b79aa8
1313461b0060
14906957808
155306ea8d5
hex31aab3de0

13332332000 has 96 divisors (see below), whose sum is σ = 35277488064. Its totient is φ = 4922688000.

The previous prime is 13332331973. The next prime is 13332332009. The reversal of 13332332000 is 23323331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332332009) 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, 76196 + ... + 180195.

It is an arithmetic number, because the mean of its divisors is an integer number (367473834).

Almost surely, 213332332000 is an apocalyptic number.

13332332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13332332000 is an abundant number, since it is smaller than the sum of its proper divisors (21945156064).

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

13332332000 is a wasteful number, since it uses less digits than its factorization.

13332332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256429 (or 256411 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 13332332000 its reverse (23323331), we get a palindrome (13355655331).

The spelling of 13332332000 in words is "thirteen billion, three hundred thirty-two million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 256391 512782 1025564 1281955 2051128 2563910 3333083 4102256 5127820 6409775 6666166 8204512 10255640 12819550 13332332 16665415 20511280 25639100 26664664 32048875 33330830 41022560 51278200 53329328 64097750 66661660 83327075 102556400 106658656 128195500 133323320 166654150 205112800 256391000 266646640 333308300 416635375 512782000 533293280 666616600 833270750 1025564000 1333233200 1666541500 2666466400 3333083000 6666166000 13332332000