Search a number
-
+
2101321103000 = 23537353850393
BaseRepresentation
bin11110100101000000011…
…111110111011010011000
321102212212200101011211112
4132211000133313122120
5233412001200244000
64245200015515452
7304546460445560
oct36450037673230
97385780334745
102101321103000
1174018aa88149
1229b300228b88
131231cc98a262
14739c1165da0
15399d81c5235
hex1e9407f7698

2101321103000 has 128 divisors (see below), whose sum is σ = 5635458990720. Its totient is φ = 718411161600.

The previous prime is 2101321102999. The next prime is 2101321103003. The reversal of 2101321103000 is 3011231012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101321103003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2045804 + ... + 2896196.

It is an arithmetic number, because the mean of its divisors is an integer number (44027023365).

Almost surely, 22101321103000 is an apocalyptic number.

2101321103000 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 2101321103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817729495360).

2101321103000 is an abundant number, since it is smaller than the sum of its proper divisors (3534137887720).

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

2101321103000 is a wasteful number, since it uses less digits than its factorization.

2101321103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850774 (or 850760 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2101321103000 its reverse (3011231012), we get a palindrome (2104332334012).

The spelling of 2101321103000 in words is "two trillion, one hundred one billion, three hundred twenty-one million, one hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 353 500 700 706 875 1000 1400 1412 1750 1765 2471 2824 3500 3530 4942 7000 7060 8825 9884 12355 14120 17650 19768 24710 35300 44125 49420 61775 70600 88250 98840 123550 176500 247100 308875 353000 494200 617750 850393 1235500 1700786 2471000 3401572 4251965 5952751 6803144 8503930 11905502 17007860 21259825 23811004 29763755 34015720 42519650 47622008 59527510 85039300 106299125 119055020 148818775 170078600 212598250 238110040 297637550 300188729 425196500 595275100 600377458 744093875 850393000 1190550200 1200754916 1488187750 1500943645 2101321103 2401509832 2976375500 3001887290 4202642206 5952751000 6003774580 7504718225 8405284412 10506605515 12007549160 15009436450 16810568824 21013211030 30018872900 37523591125 42026422060 52533027575 60037745800 75047182250 84052844120 105066055150 150094364500 210132110300 262665137875 300188729000 420264220600 525330275750 1050660551500 2101321103000