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214121303400 = 23352443805573
BaseRepresentation
bin1100011101101010011…
…1111100110101101000
3202110200111000020001110
43013122213330311220
512002010023202100
6242211014350320
721320061022524
oct3073247746550
9673614006043
10214121303400
1182898991484
12355b895b3a0
1317264ac02c4
14a513732d84
155883069250
hex31da9fcd68

214121303400 has 96 divisors (see below), whose sum is σ = 665275232160. Its totient is φ = 56970051840.

The previous prime is 214121303399. The next prime is 214121303441. The reversal of 214121303400 is 4303121412.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136987 + ... + 668586.

It is an arithmetic number, because the mean of its divisors is an integer number (6929950335).

Almost surely, 2214121303400 is an apocalyptic number.

214121303400 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 214121303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332637616080).

214121303400 is an abundant number, since it is smaller than the sum of its proper divisors (451153928760).

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

214121303400 is a wasteful number, since it uses less digits than its factorization.

214121303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806035 (or 806026 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 214121303400 its reverse (4303121412), we get a palindrome (218424424812).

The spelling of 214121303400 in words is "two hundred fourteen billion, one hundred twenty-one million, three hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 443 600 886 1329 1772 2215 2658 3544 4430 5316 6645 8860 10632 11075 13290 17720 22150 26580 33225 44300 53160 66450 88600 132900 265800 805573 1611146 2416719 3222292 4027865 4833438 6444584 8055730 9666876 12083595 16111460 19333752 20139325 24167190 32222920 40278650 48334380 60417975 80557300 96668760 120835950 161114600 241671900 356868839 483343800 713737678 1070606517 1427475356 1784344195 2141213034 2854950712 3568688390 4282426068 5353032585 7137376780 8564852136 8921720975 10706065170 14274753560 17843441950 21412130340 26765162925 35686883900 42824260680 53530325850 71373767800 107060651700 214121303400