Search a number
-
+
10213990000 = 24542713769
BaseRepresentation
bin10011000001100110…
…10001111001110000
3222100211102110012221
421200303101321300
5131404240140000
64405305130424
7511053324334
oct114063217160
928324373187
1010213990000
114371592955
121b90789a14
13c6a132486
146cc7477c4
153eba7c61a
hex260cd1e70

10213990000 has 100 divisors (see below), whose sum is σ = 24826927840. Its totient is φ = 4069440000.

The previous prime is 10213989991. The next prime is 10213990001. The reversal of 10213990000 is 9931201.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213990001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2708116 + ... + 2711884.

Almost surely, 210213990000 is an apocalyptic number.

10213990000 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 10213990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413463920).

10213990000 is an abundant number, since it is smaller than the sum of its proper divisors (14612937840).

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

10213990000 is an equidigital number, since it uses as much as digits as its factorization.

10213990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 10213990000 in words is "ten billion, two hundred thirteen million, nine hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 271 400 500 542 625 1000 1084 1250 1355 2000 2168 2500 2710 3769 4336 5000 5420 6775 7538 10000 10840 13550 15076 18845 21680 27100 30152 33875 37690 54200 60304 67750 75380 94225 108400 135500 150760 169375 188450 271000 301520 338750 376900 471125 542000 677500 753800 942250 1021399 1355000 1507600 1884500 2042798 2355625 2710000 3769000 4085596 4711250 5106995 7538000 8171192 9422500 10213990 16342384 18845000 20427980 25534975 37690000 40855960 51069950 81711920 102139900 127674875 204279800 255349750 408559600 510699500 638374375 1021399000 1276748750 2042798000 2553497500 5106995000 10213990000