Search a number
-
+
10001220200020 = 2257593593336989
BaseRepresentation
bin1001000110001001011100…
…1011010110011001010100
31022102002220020020211120201
42101202113023112121110
52302324444332400040
633134255214110244
72051364363023620
oct221422713263124
938362806224521
1010001220200020
113206548087395
1211563784ab384
13577159ba317a
142680c11da180
1512524c11da9a
hex918972d6654

10001220200020 has 96 divisors (see below), whose sum is σ = 24416623929600. Its totient is φ = 3369923134464.

The previous prime is 10001220200017. The next prime is 10001220200057. The reversal of 10001220200020 is 2000202210001.

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

It is a congruent number.

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, 29509686 + ... + 29846674.

It is an arithmetic number, because the mean of its divisors is an integer number (254339832600).

Almost surely, 210001220200020 is an apocalyptic number.

10001220200020 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 10001220200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12208311964800).

10001220200020 is an abundant number, since it is smaller than the sum of its proper divisors (14415403729580).

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

10001220200020 is a wasteful number, since it uses less digits than its factorization.

10001220200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340657 (or 340655 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10001220200020 its reverse (2000202210001), we get a palindrome (12001422410021).

The spelling of 10001220200020 in words is "ten trillion, one billion, two hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 3593 4130 7186 8260 14372 17965 25151 35930 50302 71860 100604 125755 211987 251510 336989 423974 503020 673978 847948 1059935 1347956 1483909 1684945 2119870 2358923 2967818 3369890 4239740 4717846 5935636 6739780 7419545 9435692 11794615 14839090 19882351 23589230 29678180 39764702 47178460 79529404 99411755 139176457 198823510 278352914 397647020 556705828 695882285 1210801477 1391764570 2421602954 2783529140 4843205908 6054007385 8475610339 12108014770 16951220678 24216029540 33902441356 42378051695 71437287143 84756103390 142874574286 169512206780 285749148572 357186435715 500061010001 714372871430 1000122020002 1428745742860 2000244040004 2500305050005 5000610100010 10001220200020