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1121010002000 = 2453789899687
BaseRepresentation
bin10000010100000001011…
…001110010100001010000
310222011112010002110020222
4100110001121302201100
5121331312030031000
62214552422452212
7143663446540460
oct20240131624120
93864463073228
101121010002000
113a2465a15509
12161313b94068
13819317b2815
143c385981ba0
151e260226a85
hex10501672850

1121010002000 has 160 divisors (see below), whose sum is σ = 3132641640960. Its totient is φ = 380027366400.

The previous prime is 1121010001963. The next prime is 1121010002003. The reversal of 1121010002000 is 2000101211.

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 (1121010002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 796157 + ... + 1695843.

It is an arithmetic number, because the mean of its divisors is an integer number (19579010256).

Almost surely, 21121010002000 is an apocalyptic number.

1121010002000 is a gapful number since it is divisible by the number (10) 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 1121010002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566320820480).

1121010002000 is an abundant number, since it is smaller than the sum of its proper divisors (2011631638960).

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

1121010002000 is an equidigital number, since it uses as much as digits as its factorization.

1121010002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899806 (or 899790 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1121010002000 its reverse (2000101211), we get a palindrome (1123010103211).

The spelling of 1121010002000 in words is "one trillion, one hundred twenty-one billion, ten million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 89 100 112 125 140 175 178 200 250 280 350 356 400 445 500 560 623 700 712 875 890 1000 1246 1400 1424 1750 1780 2000 2225 2492 2800 3115 3500 3560 4450 4984 6230 7000 7120 8900 9968 11125 12460 14000 15575 17800 22250 24920 31150 35600 44500 49840 62300 77875 89000 124600 155750 178000 249200 311500 623000 899687 1246000 1799374 3598748 4498435 6297809 7197496 8996870 12595618 14394992 17993740 22492175 25191236 31489045 35987480 44984350 50382472 62978090 71974960 80072143 89968700 100764944 112460875 125956180 157445225 160144286 179937400 224921750 251912360 314890450 320288572 359874800 400360715 449843500 503824720 560505001 629780900 640577144 787226125 800721430 899687000 1121010002 1259561800 1281154288 1574452250 1601442860 1799374000 2001803575 2242020004 2519123600 2802525005 3148904500 3202885720 4003607150 4484040008 5605050010 6297809000 6405771440 8007214300 8968080016 10009017875 11210100020 12595618000 14012625025 16014428600 20018035750 22420200040 28025250050 32028857200 40036071500 44840400080 56050500100 70063125125 80072143000 112101000200 140126250250 160144286000 224202000400 280252500500 560505001000 1121010002000