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31223212400 = 2452314215981
BaseRepresentation
bin11101000101000011…
…000110100101110000
32222120222222112100002
4131011003012211300
51002421120244100
622202125445132
72153511632522
oct350503064560
988528875302
1031223212400
1112272764676
1260747107a8
132c37925c13
141722a9ba12
15c2b1ec2d5
hex7450c6970

31223212400 has 120 divisors (see below), whose sum is σ = 77630471808. Its totient is φ = 12055680000.

The previous prime is 31223212399. The next prime is 31223212403. The reversal of 31223212400 is 421232213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31223212403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5217410 + ... + 5223390.

Almost surely, 231223212400 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 31223212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38815235904).

31223212400 is an abundant number, since it is smaller than the sum of its proper divisors (46407259408).

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

31223212400 is a wasteful number, since it uses less digits than its factorization.

31223212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6451 (or 6440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31223212400 its reverse (421232213), we get a palindrome (31644444613).

The spelling of 31223212400 in words is "thirty-one billion, two hundred twenty-three million, two hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 421 496 620 775 842 1240 1550 1684 2105 2480 3100 3368 4210 5981 6200 6736 8420 10525 11962 12400 13051 16840 21050 23924 26102 29905 33680 42100 47848 52204 59810 65255 84200 95696 104408 119620 130510 149525 168400 185411 208816 239240 261020 299050 326275 370822 478480 522040 598100 652550 741644 927055 1044080 1196200 1305100 1483288 1854110 2392400 2518001 2610200 2966576 3708220 4635275 5036002 5220400 7416440 9270550 10072004 12590005 14832880 18541100 20144008 25180010 37082200 40288016 50360020 62950025 74164400 78058031 100720040 125900050 156116062 201440080 251800100 312232124 390290155 503600200 624464248 780580310 1007200400 1248928496 1561160620 1951450775 3122321240 3902901550 6244642480 7805803100 15611606200 31223212400