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31100003000 = 2353116734201
BaseRepresentation
bin11100111101101101…
…000110001010111000
32222021102010211210222
4130331231012022320
51002143100044000
622142004555212
72150454443453
oct347555061270
988242124728
1031100003000
111220a160620
12603b3b2b08
132c18247251
14171058849a
15c204b0a85
hex73db462b8

31100003000 has 128 divisors (see below), whose sum is σ = 79526715840. Its totient is φ = 11289600000.

The previous prime is 31100002933. The next prime is 31100003009. The reversal of 31100003000 is 30000113.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31100003009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7400900 + ... + 7405100.

Almost surely, 231100003000 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 31100003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39763357920).

31100003000 is an abundant number, since it is smaller than the sum of its proper divisors (48426712840).

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

31100003000 is a wasteful number, since it uses less digits than its factorization.

31100003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4892 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 31100003000 its reverse (30000113), we get a palindrome (31130003113).

The spelling of 31100003000 in words is "thirty-one billion, one hundred million, three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 673 1000 1100 1346 1375 2200 2692 2750 3365 4201 5384 5500 6730 7403 8402 11000 13460 14806 16804 16825 21005 26920 29612 33608 33650 37015 42010 46211 59224 67300 74030 84020 84125 92422 105025 134600 148060 168040 168250 184844 185075 210050 231055 296120 336500 369688 370150 420100 462110 525125 673000 740300 840200 924220 925375 1050250 1155275 1480600 1848440 1850750 2100500 2310550 2827273 3701500 4201000 4621100 5654546 5776375 7403000 9242200 11309092 11552750 14136365 22618184 23105500 28272730 31100003 46211000 56545460 62200006 70681825 113090920 124400012 141363650 155500015 248800024 282727300 311000030 353409125 565454600 622000060 706818250 777500075 1244000120 1413636500 1555000150 2827273000 3110000300 3887500375 6220000600 7775000750 15550001500 31100003000