Search a number
-
+
1220010322000 = 24539715714003
BaseRepresentation
bin10001110000001110010…
…010000010100001010000
311022122001121122210100111
4101300032102002201100
5124442040120301000
62332244235131104
7154066664430151
oct21601622024120
94278047583314
101220010322000
11430449026198
12178542ba3a94
138b07b167922
1443097d39928
1521b067e4cba
hex11c0e482850

1220010322000 has 160 divisors (see below), whose sum is σ = 2983039323264. Its totient is φ = 482545152000.

The previous prime is 1220010321979. The next prime is 1220010322043. The reversal of 1220010322000 is 2230100221.

It is a congruent number.

It is an unprimeable number.

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, 304771999 + ... + 304776001.

Almost surely, 21220010322000 is an apocalyptic number.

1220010322000 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 1220010322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491519661632).

1220010322000 is an abundant number, since it is smaller than the sum of its proper divisors (1763029001264).

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

1220010322000 is a wasteful number, since it uses less digits than its factorization.

1220010322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 1220010322000 its reverse (2230100221), we get a palindrome (1222240422221).

The spelling of 1220010322000 in words is "one trillion, two hundred twenty billion, ten million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 776 970 1000 1552 1571 1940 2000 2425 3142 3880 4003 4850 6284 7760 7855 8006 9700 12125 12568 15710 16012 19400 20015 24250 25136 31420 32024 38800 39275 40030 48500 62840 64048 78550 80060 97000 100075 125680 152387 157100 160120 194000 196375 200150 304774 314200 320240 388291 392750 400300 500375 609548 628400 761935 776582 785500 800600 1000750 1219096 1523870 1553164 1571000 1601200 1941455 2001500 2438192 3047740 3106328 3142000 3809675 3882910 4003000 6095480 6212656 6288713 7619350 7765820 8006000 9707275 12190960 12577426 15238700 15531640 19048375 19414550 25154852 30477400 31063280 31443565 38096750 38829100 48536375 50309704 60954800 62887130 76193500 77658200 97072750 100619408 125774260 152387000 155316400 157217825 194145500 251548520 304774000 314435650 388291000 503097040 610005161 628871300 776582000 786089125 1220010322 1257742600 1572178250 2440020644 2515485200 3050025805 3144356500 4880041288 6100051610 6288713000 9760082576 12200103220 12577426000 15250129025 24400206440 30500258050 48800412880 61000516100 76250645125 122001032200 152501290250 244002064400 305002580500 610005161000 1220010322000