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13322200400 = 2452311074371
BaseRepresentation
bin11000110100001000…
…01010010101010000
31021101110001220022122
430122010022111100
5204240440403100
610041540553412
7651064556255
oct143204122520
937343056278
1013322200400
115717042383
1226b96b2868
131344073622
1490547b42c
1552e898985
hex31a10a550

13322200400 has 60 divisors (see below), whose sum is σ = 33039087744. Its totient is φ = 5156976000.

The previous prime is 13322200393. The next prime is 13322200403. The reversal of 13322200400 is 400222331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322200403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 524786 + ... + 549585.

Almost surely, 213322200400 is an apocalyptic number.

13322200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322200400 is an abundant number, since it is smaller than the sum of its proper divisors (19716887344).

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

13322200400 is a wasteful number, since it uses less digits than its factorization.

13322200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074420 (or 1074409 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 13322200400 its reverse (400222331), we get a palindrome (13722422731).

The spelling of 13322200400 in words is "thirteen billion, three hundred twenty-two million, two hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 1074371 2148742 4297484 5371855 8594968 10743710 17189936 21487420 26859275 33305501 42974840 53718550 66611002 85949680 107437100 133222004 166527505 214874200 266444008 333055010 429748400 532888016 666110020 832637525 1332220040 1665275050 2664440080 3330550100 6661100200 13322200400