Search a number
-
+
1221233100 = 2235237269409
BaseRepresentation
bin100100011001010…
…1000100111001100
310011002222001212120
41020302220213030
510000113424400
6321103132540
742156211233
oct11062504714
93132861776
101221233100
1157739955a
122a0ba4150
13166019c49
14b8299b1a
1572331ca0
hex48ca89cc

1221233100 has 144 divisors (see below), whose sum is σ = 3651328800. Its totient is φ = 314910720.

The previous prime is 1221233089. The next prime is 1221233119. The reversal of 1221233100 is 13321221.

It is a super-2 number, since 2×12212331002 = 2982820569071220000, which contains 22 as substring.

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 1221233100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2985696 + ... + 2986104.

It is an arithmetic number, because the mean of its divisors is an integer number (25356450).

Almost surely, 21221233100 is an apocalyptic number.

1221233100 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 1221233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825664400).

1221233100 is an abundant number, since it is smaller than the sum of its proper divisors (2430095700).

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

1221233100 is a wasteful number, since it uses less digits than its factorization.

1221233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1221233100 is about 34946.1457102210. The cubic root of 1221233100 is about 1068.8896100237.

Adding to 1221233100 its reverse (13321221), we get a palindrome (1234554321).

The spelling of 1221233100 in words is "one billion, two hundred twenty-one million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 269 300 370 409 444 538 555 740 807 818 925 1076 1110 1227 1345 1614 1636 1850 2045 2220 2454 2690 2775 3228 3700 4035 4090 4908 5380 5550 6135 6725 8070 8180 9953 10225 11100 12270 13450 15133 16140 19906 20175 20450 24540 26900 29859 30266 30675 39812 40350 40900 45399 49765 59718 60532 61350 75665 80700 90798 99530 110021 119436 122700 149295 151330 181596 199060 220042 226995 248825 298590 302660 330063 378325 440084 453990 497650 550105 597180 660126 746475 756650 907980 995300 1100210 1134975 1320252 1492950 1513300 1650315 2200420 2269950 2750525 2985900 3300630 4070777 4539900 5501050 6601260 8141554 8251575 11002100 12212331 16283108 16503150 20353885 24424662 33006300 40707770 48849324 61061655 81415540 101769425 122123310 203538850 244246620 305308275 407077700 610616550 1221233100