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20134821300 = 2235211107127449
BaseRepresentation
bin10010110000001000…
…001111110110110100
31220222020012220022020
4102300020033312310
5312214003240200
613125543033140
71311650104626
oct226010176664
956866186266
1020134821300
1185a2644290
123a9b13b7b0
131b8b5c0a59
14d9017cc16
157cc9ecea0
hex4b020fdb4

20134821300 has 288 divisors, whose sum is σ = 64795852800. Its totient is φ = 4786790400.

The previous prime is 20134821229. The next prime is 20134821313. The reversal of 20134821300 is 312843102.

It is a super-2 number, since 2×201348213002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44843476 + ... + 44843924.

It is an arithmetic number, because the mean of its divisors is an integer number (224985600).

Almost surely, 220134821300 is an apocalyptic number.

20134821300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20134821300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32397926400).

20134821300 is an abundant number, since it is smaller than the sum of its proper divisors (44661031500).

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

20134821300 is a wasteful number, since it uses less digits than its factorization.

20134821300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 20134821300 in words is "twenty billion, one hundred thirty-four million, eight hundred twenty-one thousand, three hundred".