Search a number
-
+
1012122001000 = 235311194842689
BaseRepresentation
bin11101011101001110010…
…11000001111001101000
310120202110112002212202001
432232213023001321220
5113040311213013000
62052543515020344
7133060220026555
oct16564713017150
93522415085661
101012122001000
11360269535740
121441a573a6b4
137459a7a7cb6
1436db6341a2c
151b4daa8546a
hexeba72c1e68

1012122001000 has 128 divisors (see below), whose sum is σ = 2719654704000. Its totient is φ = 348673536000.

The previous prime is 1012122000997. The next prime is 1012122001027. The reversal of 1012122001000 is 1002212101.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 2212345 + ... + 2630344.

It is an arithmetic number, because the mean of its divisors is an integer number (21247302375).

Almost surely, 21012122001000 is an apocalyptic number.

1012122001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012122001000 is an abundant number, since it is smaller than the sum of its proper divisors (1707532703000).

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

1012122001000 is a wasteful number, since it uses less digits than its factorization.

1012122001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842740 (or 4842726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012122001000 its reverse (1002212101), we get a palindrome (1013124213101).

The spelling of 1012122001000 in words is "one trillion, twelve billion, one hundred twenty-two million, one thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 275 380 418 440 475 500 550 760 836 950 1000 1045 1100 1375 1672 1900 2090 2200 2375 2750 3800 4180 4750 5225 5500 8360 9500 10450 11000 19000 20900 26125 41800 52250 104500 209000 4842689 9685378 19370756 24213445 38741512 48426890 53269579 92011091 96853780 106539158 121067225 184022182 193707560 213078316 242134450 266347895 368044364 426156632 460055455 484268900 532695790 605336125 736088728 920110910 968537800 1012122001 1065391580 1210672250 1331739475 1840221820 2024244002 2130783160 2300277275 2421344500 2663478950 3680443640 4048488004 4600554550 4842689000 5060610005 5326957900 6658697375 8096976008 9201109100 10121220010 10653915800 11501386375 13317394750 18402218200 20242440020 23002772750 25303050025 26634789500 40484880040 46005545500 50606100050 53269579000 92011091000 101212200100 126515250125 202424400200 253030500250 506061000500 1012122001000