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1133031020 = 22511371091277
BaseRepresentation
bin100001110001000…
…1010111001101100
32220221222221100212
41003202022321230
54310023443040
6304232441552
740035414302
oct10342127154
92827887325
101133031020
11531625a80
122775492b8
13150977474
14aa69a272
156970cd65
hex4388ae6c

1133031020 has 96 divisors (see below), whose sum is σ = 2692388160. Its totient is φ = 396887040.

The previous prime is 1133031007. The next prime is 1133031041. The reversal of 1133031020 is 201303311.

It is a junction number, because it is equal to n+sod(n) for n = 1133030986 and 1133031004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886622 + ... + 887898.

It is an arithmetic number, because the mean of its divisors is an integer number (28045710).

Almost surely, 21133031020 is an apocalyptic number.

1133031020 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 1133031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346194080).

1133031020 is an abundant number, since it is smaller than the sum of its proper divisors (1559357140).

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

1133031020 is a wasteful number, since it uses less digits than its factorization.

1133031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1133031020 is about 33660.5261396788. The cubic root of 1133031020 is about 1042.5108894001.

Adding to 1133031020 its reverse (201303311), we get a palindrome (1334334331).

The spelling of 1133031020 in words is "one billion, one hundred thirty-three million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 109 110 148 185 218 220 370 407 436 545 740 814 1090 1199 1277 1628 2035 2180 2398 2554 4033 4070 4796 5108 5995 6385 8066 8140 11990 12770 14047 16132 20165 23980 25540 28094 40330 44363 47249 56188 70235 80660 88726 94498 139193 140470 177452 188996 221815 236245 278386 280940 443630 472490 519739 556772 695965 887260 944980 1039478 1391930 1531123 2078956 2598695 2783860 3062246 5150141 5197390 6124492 7655615 10300282 10394780 15311230 20600564 25750705 30622460 51501410 56651551 103002820 113303102 226606204 283257755 566515510 1133031020