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21200124220 = 225116110115641
BaseRepresentation
bin10011101111101000…
…000011100100111100
32000201110202220011221
4103233220003210330
5321404212433340
613423400123124
71350234040222
oct235750034474
960643686157
1021200124220
118a99a10120
124137a664a4
131ccb213802
141051848b12
158412cd44a
hex4efa0393c

21200124220 has 96 divisors (see below), whose sum is σ = 49855684032. Its totient is φ = 7507200000.

The previous prime is 21200124217. The next prime is 21200124223. The reversal of 21200124220 is 2242100212.

It is an interprime number because it is at equal distance from previous prime (21200124217) and next prime (21200124223).

It is a junction number, because it is equal to n+sod(n) for n = 21200124194 and 21200124203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200124223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1347600 + ... + 1363240.

It is an arithmetic number, because the mean of its divisors is an integer number (519330042).

Almost surely, 221200124220 is an apocalyptic number.

21200124220 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 21200124220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24927842016).

21200124220 is an abundant number, since it is smaller than the sum of its proper divisors (28655559812).

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

21200124220 is a wasteful number, since it uses less digits than its factorization.

21200124220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15823 (or 15821 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21200124220 its reverse (2242100212), we get a palindrome (23442224432).

The spelling of 21200124220 in words is "twenty-one billion, two hundred million, one hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 101 110 122 202 220 244 305 404 505 610 671 1010 1111 1220 1342 2020 2222 2684 3355 4444 5555 6161 6710 11110 12322 13420 15641 22220 24644 30805 31282 61610 62564 67771 78205 123220 135542 156410 172051 271084 312820 338855 344102 677710 688204 860255 954101 1355420 1579741 1720510 1908202 3159482 3441020 3816404 4770505 6318964 7898705 9541010 10495111 15797410 17377151 19082020 20990222 31594820 34754302 41980444 52475555 69508604 86885755 96364201 104951110 173771510 192728402 209902220 347543020 385456804 481821005 963642010 1060006211 1927284020 2120012422 4240024844 5300031055 10600062110 21200124220