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21312233120 = 255197010603
BaseRepresentation
bin10011110110010011…
…101101111010100000
32001000021201121200102
4103312103231322200
5322121412424440
613442443041532
71353064664303
oct236623557240
961007647612
1021312233120
119047222202
1241695102a8
132018506a39
1410626acb3a
1584b075b15
hex4f64edea0

21312233120 has 48 divisors (see below), whose sum is σ = 53000166240. Its totient is φ = 8076213504.

The previous prime is 21312233069. The next prime is 21312233203. The reversal of 21312233120 is 2133221312.

It is a super-2 number, since 2×213122331202 (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 junction number, because it is equal to n+sod(n) for n = 21312233092 and 21312233101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3502262 + ... + 3508341.

It is an arithmetic number, because the mean of its divisors is an integer number (1104170130).

Almost surely, 221312233120 is an apocalyptic number.

21312233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312233120 is an abundant number, since it is smaller than the sum of its proper divisors (31687933120).

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

21312233120 is a wasteful number, since it uses less digits than its factorization.

21312233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010637 (or 7010629 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21312233120 its reverse (2133221312), we get a palindrome (23445454432).

The spelling of 21312233120 in words is "twenty-one billion, three hundred twelve million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 7010603 14021206 28042412 35053015 56084824 70106030 112169648 133201457 140212060 224339296 266402914 280424120 532805828 560848240 666007285 1065611656 1121696480 1332014570 2131223312 2664029140 4262446624 5328058280 10656116560 21312233120