Search a number
-
+
101002230 = 23257237619
BaseRepresentation
bin1100000010100…
…10101111110110
321001001110000100
412001102233312
5201324032410
614004454530
72334335100
oct601225766
9231043010
10101002230
115201651a
12299aa446
1317c04a44
14d5b2570
158d018c0
hex6052bf6

101002230 has 144 divisors (see below), whose sum is σ = 314243280. Its totient is φ = 22425984.

The previous prime is 101002207. The next prime is 101002241. The reversal of 101002230 is 32200101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 162861 + ... + 163479.

It is an arithmetic number, because the mean of its divisors is an integer number (2182245).

Almost surely, 2101002230 is an apocalyptic number.

101002230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157121640).

101002230 is an abundant number, since it is smaller than the sum of its proper divisors (213241050).

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

101002230 is a wasteful number, since it uses less digits than its factorization.

101002230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101002230 is about 10049.9865671552. The cubic root of 101002230 is about 465.7043781912.

Adding to 101002230 its reverse (32200101), we get a palindrome (133202331).

The spelling of 101002230 in words is "one hundred one million, two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 49 63 70 74 90 98 105 111 126 147 185 210 222 245 259 294 315 333 370 441 490 518 555 619 630 666 735 777 882 1110 1238 1295 1470 1554 1665 1813 1857 2205 2331 2590 3095 3330 3626 3714 3885 4333 4410 4662 5439 5571 6190 7770 8666 9065 9285 10878 11142 11655 12999 16317 18130 18570 21665 22903 23310 25998 27195 27855 30331 32634 38997 43330 45806 54390 55710 60662 64995 68709 77994 81585 90993 114515 129990 137418 151655 160321 163170 181986 194985 206127 229030 272979 303310 320642 343545 389970 412254 454965 480963 545958 687090 801605 909930 961926 1030635 1122247 1364895 1442889 1603210 2061270 2244494 2404815 2729790 2885778 3366741 4809630 5611235 6733482 7214445 10100223 11222470 14428890 16833705 20200446 33667410 50501115 101002230