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21140154200 = 23521136726183
BaseRepresentation
bin10011101100000011…
…010010011101011000
32000120021221002210002
4103230003102131120
5321243334413300
613413414512132
71345605226424
oct235403223530
960507832702
1021140154200
118a6907a820
12411b965648
131cbb9773a9
1410478b7b84
1583add45d5
hex4ec0d2758

21140154200 has 96 divisors (see below), whose sum is σ = 53767272960. Its totient is φ = 7666089600.

The previous prime is 21140154193. The next prime is 21140154239. The reversal of 21140154200 is 245104112.

It is a happy number.

It is a super-2 number, since 2×211401542002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 794309 + ... + 820491.

It is an arithmetic number, because the mean of its divisors is an integer number (560075760).

Almost surely, 221140154200 is an apocalyptic number.

21140154200 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 21140154200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26883636480).

21140154200 is an abundant number, since it is smaller than the sum of its proper divisors (32627118760).

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

21140154200 is a wasteful number, since it uses less digits than its factorization.

21140154200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26577 (or 26568 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 21140154200 its reverse (245104112), we get a palindrome (21385258312).

The spelling of 21140154200 in words is "twenty-one billion, one hundred forty million, one hundred fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 367 440 550 734 1100 1468 1835 2200 2936 3670 4037 7340 8074 9175 14680 16148 18350 20185 26183 32296 36700 40370 52366 73400 80740 100925 104732 130915 161480 201850 209464 261830 288013 403700 523660 576026 654575 807400 1047320 1152052 1309150 1440065 2304104 2618300 2880130 5236600 5760260 7200325 9609161 11520520 14400650 19218322 28801300 38436644 48045805 57602600 76873288 96091610 105700771 192183220 211401542 240229025 384366440 422803084 480458050 528503855 845606168 960916100 1057007710 1921832200 2114015420 2642519275 4228030840 5285038550 10570077100 21140154200