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20122113200 = 245277186469
BaseRepresentation
bin10010101111010111…
…110001010010110000
31220221100022021001212
4102233113301102300
5312202230110300
613124410415252
71311434066030
oct225727612260
956840267055
1020122113200
118596454522
123a96a31528
131b88a91677
14d8c5d18c0
157cb83c935
hex4af5f14b0

20122113200 has 60 divisors (see below), whose sum is σ = 55249581360. Its totient is φ = 6899009280.

The previous prime is 20122113199. The next prime is 20122113227. The reversal of 20122113200 is 231122102.

It is a happy number.

It is a super-2 number, since 2×201221132002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3590435 + ... + 3596034.

It is an arithmetic number, because the mean of its divisors is an integer number (920826356).

Almost surely, 220122113200 is an apocalyptic number.

20122113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122113200 is an abundant number, since it is smaller than the sum of its proper divisors (35127468160).

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

20122113200 is a wasteful number, since it uses less digits than its factorization.

20122113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7186494 (or 7186483 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20122113200 its reverse (231122102), we get a palindrome (20353235302).

The spelling of 20122113200 in words is "twenty billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 7186469 14372938 28745876 35932345 50305283 57491752 71864690 100610566 114983504 143729380 179661725 201221132 251526415 287458760 359323450 402442264 503052830 574917520 718646900 804884528 1006105660 1257632075 1437293800 2012211320 2515264150 2874587600 4024422640 5030528300 10061056600 20122113200