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1161331020 = 22355832879
BaseRepresentation
bin100010100111000…
…1000000101001100
32222221020201200000
41011032020011030
54334300043040
6311123204300
740531102503
oct10516100514
92887221600
101161331020
115465a5203
12284b16690
131567a5725
14b034583a
156be4d130
hex4538814c

1161331020 has 144 divisors (see below), whose sum is σ = 3698472960. Its totient is φ = 305850816.

The previous prime is 1161331001. The next prime is 1161331049. The reversal of 1161331020 is 201331611.

1161331020 is a `hidden beast` number, since 1 + 1 + 613 + 31 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1161330984 and 1161331002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401941 + ... + 404819.

It is an arithmetic number, because the mean of its divisors is an integer number (25683840).

Almost surely, 21161331020 is an apocalyptic number.

1161331020 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 1161331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

1161331020 is an abundant number, since it is smaller than the sum of its proper divisors (2537141940).

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

1161331020 is a wasteful number, since it uses less digits than its factorization.

1161331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1161331020 is about 34078.3071762668. The cubic root of 1161331020 is about 1051.1192962062.

Adding to 1161331020 its reverse (201331611), we get a palindrome (1362662631).

The spelling of 1161331020 in words is "one billion, one hundred sixty-one million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 243 249 270 324 332 405 415 486 498 540 747 810 830 972 996 1215 1245 1494 1620 1660 2241 2430 2490 2879 2988 3735 4482 4860 4980 5758 6723 7470 8637 8964 11205 11516 13446 14395 14940 17274 20169 22410 25911 26892 28790 33615 34548 40338 43185 44820 51822 57580 67230 77733 80676 86370 100845 103644 129555 134460 155466 172740 201690 233199 238957 259110 310932 388665 403380 466398 477914 518220 699597 716871 777330 932796 955828 1165995 1194785 1399194 1433742 1554660 2150613 2331990 2389570 2798388 2867484 3497985 3584355 4301226 4663980 4779140 6451839 6995970 7168710 8602452 10753065 12903678 13991940 14337420 19355517 21506130 25807356 32259195 38711034 43012260 58066551 64518390 77422068 96777585 116133102 129036780 193555170 232266204 290332755 387110340 580665510 1161331020