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210233000100 = 2235224114591993
BaseRepresentation
bin1100001111001011011…
…1010000000010100100
3202002122111110221200010
43003302313100002210
511421024122000400
6240325114450220
721121525005354
oct3036267200244
9662574427603
10210233000100
1181183058682
12348b2733970
1316a95379316
14a265176b64
155706a09450
hex30f2dd00a4

210233000100 has 144 divisors (see below), whose sum is σ = 611523429440. Its totient is φ = 55763251200.

The previous prime is 210233000099. The next prime is 210233000101. The reversal of 210233000100 is 1000332012.

It is a happy number.

210233000100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210233000099) and next prime (210233000101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (210233000101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105484704 + ... + 105486696.

Almost surely, 2210233000100 is an apocalyptic number.

210233000100 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 210233000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305761714720).

210233000100 is an abundant number, since it is smaller than the sum of its proper divisors (401290429340).

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

210233000100 is a wasteful number, since it uses less digits than its factorization.

210233000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 210233000100 its reverse (1000332012), we get a palindrome (211233332112).

The spelling of 210233000100 in words is "two hundred ten billion, two hundred thirty-three million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 241 300 482 723 964 1205 1446 1459 1993 2410 2892 2918 3615 3986 4377 4820 5836 5979 6025 7230 7295 7972 8754 9965 11958 12050 14460 14590 17508 18075 19930 21885 23916 24100 29180 29895 36150 36475 39860 43770 49825 59790 72300 72950 87540 99650 109425 119580 145900 149475 199300 218850 298950 351619 437700 480313 597900 703238 960626 1054857 1406476 1440939 1758095 1921252 2109714 2401565 2881878 2907787 3516190 4219428 4803130 5274285 5763756 5815574 7032380 7204695 8723361 8790475 9606260 10548570 11631148 12007825 14409390 14538935 17446722 17580950 21097140 24015650 26371425 28818780 29077870 34893444 35161900 36023475 43616805 48031300 52742850 58155740 72046950 72694675 87233610 105485700 144093900 145389350 174467220 218084025 290778700 436168050 700776667 872336100 1401553334 2102330001 2803106668 3503883335 4204660002 7007766670 8409320004 10511650005 14015533340 17519416675 21023300010 35038833350 42046600020 52558250025 70077666700 105116500050 210233000100