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31212304000 = 275315112919
BaseRepresentation
bin11101000100011001…
…011111011010000000
32222120020110022211021
4131010121133122000
51002410322212000
622201055555224
72153320130563
oct350431373200
988506408737
1031212304000
1112267593a69
126070b2bb14
132c355a6a47
14172145c4da
15c2a29511a
hex74465f680

31212304000 has 128 divisors (see below), whose sum is σ = 78121555200. Its totient is φ = 12401280000.

The previous prime is 31212303953. The next prime is 31212304001. The reversal of 31212304000 is 40321213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (31212304001) 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, 2409541 + ... + 2422459.

It is an arithmetic number, because the mean of its divisors is an integer number (610324650).

Almost surely, 231212304000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31212304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060777600).

31212304000 is an abundant number, since it is smaller than the sum of its proper divisors (46909251200).

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

31212304000 is a wasteful number, since it uses less digits than its factorization.

31212304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13099 (or 13077 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31212304000 its reverse (40321213), we get a palindrome (31252625213).

The spelling of 31212304000 in words is "thirty-one billion, two hundred twelve million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 151 160 200 250 302 320 400 500 604 640 755 800 1000 1208 1510 1600 2000 2416 3020 3200 3775 4000 4832 6040 7550 8000 9664 12080 12919 15100 16000 18875 19328 24160 25838 30200 37750 48320 51676 60400 64595 75500 96640 103352 120800 129190 151000 206704 241600 258380 302000 322975 413408 483200 516760 604000 645950 826816 1033520 1208000 1291900 1614875 1653632 1950769 2067040 2416000 2583800 3229750 3901538 4134080 5167600 6459500 7803076 8268160 9753845 10335200 12919000 15606152 19507690 20670400 25838000 31212304 39015380 41340800 48769225 51676000 62424608 78030760 97538450 103352000 124849216 156061520 195076900 206704000 243846125 249698432 312123040 390153800 487692250 624246080 780307600 975384500 1248492160 1560615200 1950769000 3121230400 3901538000 6242460800 7803076000 15606152000 31212304000