Search a number
-
+
1233020030100 = 2235222740944269
BaseRepresentation
bin10001111100010101101…
…110001000110010010100
311100212122021201102211020
4101330111232020302110
5130200211111430400
62342235214241140
7155040246220245
oct21742556106224
94325567642736
101233020030100
11435a14731471
1217ab73ab61b0
138c372558361
144396dab0ccc
1522118a132a0
hex11f15b88c94

1233020030100 has 144 divisors (see below), whose sum is σ = 3592096132800. Its totient is φ = 326549099520.

The previous prime is 1233020030027. The next prime is 1233020030147. The reversal of 1233020030100 is 10300203321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1233020030100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27830766 + ... + 27875034.

Almost surely, 21233020030100 is an apocalyptic number.

1233020030100 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 1233020030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796048066400).

1233020030100 is an abundant number, since it is smaller than the sum of its proper divisors (2359076102700).

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

1233020030100 is a wasteful number, since it uses less digits than its factorization.

1233020030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44922 (or 44915 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1233020030100 its reverse (10300203321), we get a palindrome (1243320233421).

The spelling of 1233020030100 in words is "one trillion, two hundred thirty-three billion, twenty million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 227 300 409 454 681 818 908 1135 1227 1362 1636 2045 2270 2454 2724 3405 4090 4540 4908 5675 6135 6810 8180 10225 11350 12270 13620 17025 20450 22700 24540 30675 34050 40900 44269 61350 68100 88538 92843 122700 132807 177076 185686 221345 265614 278529 371372 442690 464215 531228 557058 664035 885380 928430 1106725 1114116 1328070 1392645 1856860 2213450 2321075 2656140 2785290 3320175 4426900 4642150 5570580 6640350 6963225 9284300 10049063 13280700 13926450 18106021 20098126 27852900 30147189 36212042 40196252 50245315 54318063 60294378 72424084 90530105 100490630 108636126 120588756 150735945 181060210 200981260 217272252 251226575 271590315 301471890 362120420 452650525 502453150 543180630 602943780 753679725 905301050 1004906300 1086361260 1357951575 1507359450 1810602100 2715903150 3014718900 4110066767 5431806300 8220133534 12330200301 16440267068 20550333835 24660400602 41100667670 49320801204 61651001505 82201335340 102751669175 123302003010 205503338350 246604006020 308255007525 411006676700 616510015050 1233020030100