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31204301400 = 23325256930467
BaseRepresentation
bin11101000011111010…
…111101101001011000
32222112200101202022200
4131003322331221120
51002401300121100
622200212250200
72153162120436
oct350372755130
988480352280
1031204301400
1112263018548
12606a310960
132c33a3438c
141720377d56
15c29713e00
hex743ebda58

31204301400 has 144 divisors (see below), whose sum is σ = 104982064200. Its totient is φ = 8306250240.

The previous prime is 31204301341. The next prime is 31204301417. The reversal of 31204301400 is 410340213.

31204301400 is a `hidden beast` number, since 31 + 204 + 30 + 1 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1008967 + ... + 1039433.

Almost surely, 231204301400 is an apocalyptic number.

31204301400 is a gapful number since it is divisible by the number (30) 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 31204301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52491032100).

31204301400 is an abundant number, since it is smaller than the sum of its proper divisors (73777762800).

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

31204301400 is a wasteful number, since it uses less digits than its factorization.

31204301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31058 (or 31046 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31204301400 its reverse (410340213), we get a palindrome (31614641613).

The spelling of 31204301400 in words is "thirty-one billion, two hundred four million, three hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 569 600 900 1138 1707 1800 2276 2845 3414 4552 5121 5690 6828 8535 10242 11380 13656 14225 17070 20484 22760 25605 28450 30467 34140 40968 42675 51210 56900 60934 68280 85350 91401 102420 113800 121868 128025 152335 170700 182802 204840 243736 256050 274203 304670 341400 365604 457005 512100 548406 609340 731208 761675 914010 1024200 1096812 1218680 1371015 1523350 1828020 2193624 2285025 2742030 3046700 3656040 4570050 5484060 6093400 6855075 9140100 10968120 13710150 17335723 18280200 27420300 34671446 52007169 54840600 69342892 86678615 104014338 138685784 156021507 173357230 208028676 260035845 312043014 346714460 416057352 433393075 520071690 624086028 693428920 780107535 866786150 1040143380 1248172056 1300179225 1560215070 1733572300 2080286760 2600358450 3120430140 3467144600 3900537675 5200716900 6240860280 7801075350 10401433800 15602150700 31204301400