Search a number
-
+
1221130300 = 22521331157193
BaseRepresentation
bin100100011001000…
…1111100000111100
310011002202211212011
41020302033200330
510000102132200
6321101021004
742155302435
oct11062174074
93132684764
101221130300
115773292a5
122a0b54764
13165cb2210
14b827048c
15723115ba
hex48c8f83c

1221130300 has 144 divisors (see below), whose sum is σ = 2979864832. Its totient is φ = 431308800.

The previous prime is 1221130291. The next prime is 1221130321. The reversal of 1221130300 is 30311221.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6327004 + ... + 6327196.

Almost surely, 21221130300 is an apocalyptic number.

1221130300 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 1221130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489932416).

1221130300 is an abundant number, since it is smaller than the sum of its proper divisors (1758734532).

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

1221130300 is a wasteful number, since it uses less digits than its factorization.

1221130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1221130300 is about 34944.6748446741. The cubic root of 1221130300 is about 1068.8596171323.

Adding to 1221130300 its reverse (30311221), we get a palindrome (1251441521).

The spelling of 1221130300 in words is "one billion, two hundred twenty-one million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 157 193 260 310 314 325 386 403 620 628 650 772 775 785 806 965 1300 1550 1570 1612 1930 2015 2041 2509 3100 3140 3860 3925 4030 4082 4825 4867 5018 5983 7850 8060 8164 9650 9734 10036 10075 10205 11966 12545 15700 19300 19468 20150 20410 23932 24335 25090 29915 30301 40300 40820 48670 50180 51025 59830 60602 62725 63271 77779 97340 102050 119660 121204 121675 125450 126542 149575 151505 155558 204100 243350 250900 253084 299150 303010 311116 316355 388895 393913 486700 598300 606020 632710 757525 777790 787826 939331 1265420 1515050 1555580 1575652 1581775 1878662 1944475 1969565 3030100 3163550 3757324 3888950 3939130 4696655 6327100 7777900 7878260 9393310 9847825 12211303 18786620 19695650 23483275 24422606 39391300 46966550 48845212 61056515 93933100 122113030 244226060 305282575 610565150 1221130300