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20110312400 = 2452463108587
BaseRepresentation
bin10010101110101010…
…110000001111010000
31220220112002201102012
4102232222300033100
5312141214444100
613123305442052
71311231556253
oct225652601720
956815081365
1020110312400
11858a8243a2
123a92aa0328
131b864bc249
14d8abdd09a
157ca7ab135
hex4aeab03d0

20110312400 has 60 divisors (see below), whose sum is σ = 48419823552. Its totient is φ = 8026677120.

The previous prime is 20110312399. The next prime is 20110312403. The reversal of 20110312400 is 421301102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110312403) 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, 130907 + ... + 239493.

Almost surely, 220110312400 is an apocalyptic number.

20110312400 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 20110312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24209911776).

20110312400 is an abundant number, since it is smaller than the sum of its proper divisors (28309511152).

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

20110312400 is a wasteful number, since it uses less digits than its factorization.

20110312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109068 (or 109057 counting only the distinct ones).

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

Adding to 20110312400 its reverse (421301102), we get a palindrome (20531613502).

The spelling of 20110312400 in words is "twenty billion, one hundred ten million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 463 926 1852 2315 3704 4630 7408 9260 11575 18520 23150 37040 46300 92600 108587 185200 217174 434348 542935 868696 1085870 1737392 2171740 2714675 4343480 5429350 8686960 10858700 21717400 43434800 50275781 100551562 201103124 251378905 402206248 502757810 804412496 1005515620 1256894525 2011031240 2513789050 4022062480 5027578100 10055156200 20110312400