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22313121120 = 2532515495223
BaseRepresentation
bin10100110001111101…
…110011010101100000
32010121001001222220100
4110301331303111200
5331144124333440
614130035342400
71416640254153
oct246175632540
963531058810
1022313121120
1195101a2174
1243a8751a00
132147995164
1411195abc9a
158a8d80230
hex531f73560

22313121120 has 72 divisors (see below), whose sum is σ = 76143530736. Its totient is φ = 5950165248.

The previous prime is 22313121119. The next prime is 22313121157. The reversal of 22313121120 is 2112131322.

22313121120 is a `hidden beast` number, since 2 + 231 + 312 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×223131211203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22313121093 and 22313121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7746172 + ... + 7749051.

It is an arithmetic number, because the mean of its divisors is an integer number (1057549038).

Almost surely, 222313121120 is an apocalyptic number.

22313121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22313121120 is an abundant number, since it is smaller than the sum of its proper divisors (53830409616).

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

22313121120 is a wasteful number, since it uses less digits than its factorization.

22313121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15495244 (or 15495233 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22313121120 its reverse (2112131322), we get a palindrome (24425252442).

The spelling of 22313121120 in words is "twenty-two billion, three hundred thirteen million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 15495223 30990446 46485669 61980892 77476115 92971338 123961784 139457007 154952230 185942676 232428345 247923568 278914014 309904460 371885352 464856690 495847136 557828028 619808920 697285035 743770704 929713380 1115656056 1239617840 1394570070 1487541408 1859426760 2231312112 2479235680 2789140140 3718853520 4462624224 5578280280 7437707040 11156560560 22313121120