Search a number
-
+
1130333100 = 2235213417069
BaseRepresentation
bin100001101011111…
…1000001110101100
32220202220212111220
41003113320032230
54303331124400
6304054543340
740003446531
oct10327701654
92822825456
101130333100
11530052a96
12276667b50
13150241470
14aa196d88
15693787a0
hex435f83ac

1130333100 has 144 divisors (see below), whose sum is σ = 3608414880. Its totient is φ = 271411200.

The previous prime is 1130333089. The next prime is 1130333101. The reversal of 1130333100 is 13330311.

It is a super-2 number, since 2×11303331002 = 2555305833911220000, 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 1130333100.

It is not an unprimeable number, because it can be changed into a prime (1130333101) 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, 156366 + ... + 163434.

Almost surely, 21130333100 is an apocalyptic number.

1130333100 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 1130333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804207440).

1130333100 is an abundant number, since it is smaller than the sum of its proper divisors (2478081780).

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

1130333100 is a wasteful number, since it uses less digits than its factorization.

1130333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7140 (or 7133 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 1130333100 is about 33620.4268265589. The cubic root of 1130333100 is about 1041.6827725154.

Adding to 1130333100 its reverse (13330311), we get a palindrome (1143663411).

The spelling of 1130333100 in words is "one billion, one hundred thirty million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 41 50 52 60 65 75 78 82 100 123 130 150 156 164 195 205 246 260 300 325 390 410 492 533 615 650 780 820 975 1025 1066 1230 1300 1599 1950 2050 2132 2460 2665 3075 3198 3900 4100 5330 6150 6396 7069 7995 10660 12300 13325 14138 15990 21207 26650 28276 31980 35345 39975 42414 53300 70690 79950 84828 91897 106035 141380 159900 176725 183794 212070 275691 289829 353450 367588 424140 459485 530175 551382 579658 706900 869487 918970 1060350 1102764 1159316 1378455 1449145 1738974 1837940 2120700 2297425 2756910 2898290 3477948 3767777 4347435 4594850 5513820 5796580 6892275 7245725 7535554 8694870 9189700 11303331 13784550 14491450 15071108 17389740 18838885 21737175 22606662 27569100 28982900 37677770 43474350 45213324 56516655 75355540 86948700 94194425 113033310 188388850 226066620 282583275 376777700 565166550 1130333100