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21220103120 = 24517131119107
BaseRepresentation
bin10011110000110100…
…010001001111010000
32000202212100221002012
4103300310101033100
5321424321244440
613425352242052
71350565620566
oct236064211720
960685327065
1021220103120
118aaa216607
1241426a0328
1320023ba448
141054369a36
15842e27e65
hex4f0d113d0

21220103120 has 80 divisors (see below), whose sum is σ = 52638113088. Its totient is φ = 7927695360.

The previous prime is 21220103077. The next prime is 21220103129. The reversal of 21220103120 is 2130102212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21220103095 and 21220103104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220103129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118607 + ... + 237713.

Almost surely, 221220103120 is an apocalyptic number.

21220103120 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 21220103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26319056544).

21220103120 is an abundant number, since it is smaller than the sum of its proper divisors (31418009968).

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

21220103120 is a wasteful number, since it uses less digits than its factorization.

21220103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119268 (or 119262 counting only the distinct ones).

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

Adding to 21220103120 its reverse (2130102212), we get a palindrome (23350205332).

The spelling of 21220103120 in words is "twenty-one billion, two hundred twenty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 131 136 170 262 272 340 524 655 680 1048 1310 1360 2096 2227 2620 4454 5240 8908 10480 11135 17816 22270 35632 44540 89080 119107 178160 238214 476428 595535 952856 1191070 1905712 2024819 2382140 4049638 4764280 8099276 9528560 10124095 15603017 16198552 20248190 31206034 32397104 40496380 62412068 78015085 80992760 124824136 156030170 161985520 249648272 265251289 312060340 530502578 624120680 1061005156 1248241360 1326256445 2122010312 2652512890 4244020624 5305025780 10610051560 21220103120