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2104122000 = 243531312677
BaseRepresentation
bin111110101101010…
…0101101010010000
312102122021110202110
41331122211222100
513302123401000
6544442345320
7103066512321
oct17532455220
95378243673
102104122000
1198a7a4002
124a87bb240
13276c02106
1415d640448
15c4acd850
hex7d6a5a90

2104122000 has 160 divisors (see below), whose sum is σ = 6838026624. Its totient is φ = 556608000.

The previous prime is 2104121989. The next prime is 2104122019. The reversal of 2104122000 is 2214012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784662 + ... + 787338.

Almost surely, 22104122000 is an apocalyptic number.

2104122000 is a gapful number since it is divisible by the number (20) 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 2104122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419013312).

2104122000 is an abundant number, since it is smaller than the sum of its proper divisors (4733904624).

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

2104122000 is a wasteful number, since it uses less digits than its factorization.

2104122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2104122000 is about 45870.7096086381. The cubic root of 2104122000 is about 1281.4164820353.

Adding to 2104122000 its reverse (2214012), we get a palindrome (2106336012).

The spelling of 2104122000 in words is "two billion, one hundred four million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 131 150 200 240 250 262 300 375 393 400 500 524 600 655 750 786 1000 1048 1200 1310 1500 1572 1965 2000 2096 2620 2677 3000 3144 3275 3930 5240 5354 6000 6288 6550 7860 8031 9825 10480 10708 13100 13385 15720 16062 16375 19650 21416 26200 26770 31440 32124 32750 39300 40155 42832 49125 52400 53540 64248 65500 66925 78600 80310 98250 107080 128496 131000 133850 157200 160620 196500 200775 214160 262000 267700 321240 334625 350687 393000 401550 535400 642480 669250 701374 786000 803100 1003875 1052061 1070800 1338500 1402748 1606200 1753435 2007750 2104122 2677000 2805496 3212400 3506870 4015500 4208244 5260305 5354000 5610992 7013740 8031000 8416488 8767175 10520610 14027480 16062000 16832976 17534350 21041220 26301525 28054960 35068700 42082440 43835875 52603050 70137400 84164880 87671750 105206100 131507625 140274800 175343500 210412200 263015250 350687000 420824400 526030500 701374000 1052061000 2104122000