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1132303020 = 2235175571993
BaseRepresentation
bin100001101111101…
…1001001010101100
32220220121221201220
41003133121022230
54304332144040
6304205103340
740026262662
oct10337311254
92826557656
101132303020
11531179022
12277257b50
13150780cb4
14aa54ac32
15696172d0
hex437d92ac

1132303020 has 96 divisors (see below), whose sum is σ = 3364659648. Its totient is φ = 283533312.

The previous prime is 1132302979. The next prime is 1132303031. The reversal of 1132303020 is 203032311.

1132303020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11323030202 = 2564220258202240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 567144 + ... + 569136.

It is an arithmetic number, because the mean of its divisors is an integer number (35048538).

Almost surely, 21132303020 is an apocalyptic number.

1132303020 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 1132303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682329824).

1132303020 is an abundant number, since it is smaller than the sum of its proper divisors (2232356628).

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

1132303020 is a wasteful number, since it uses less digits than its factorization.

1132303020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1132303020 is about 33649.7105485322. The cubic root of 1132303020 is about 1042.2875620243.

Adding to 1132303020 its reverse (203032311), we get a palindrome (1335335331).

The spelling of 1132303020 in words is "one billion, one hundred thirty-two million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 557 1020 1114 1671 1993 2228 2785 3342 3986 5570 5979 6684 7972 8355 9469 9965 11140 11958 16710 18938 19930 23916 28407 29895 33420 33881 37876 39860 47345 56814 59790 67762 94690 101643 113628 119580 135524 142035 169405 189380 203286 284070 338810 406572 508215 568140 677620 1016430 1110101 2032860 2220202 3330303 4440404 5550505 6660606 11101010 13321212 16651515 18871717 22202020 33303030 37743434 56615151 66606060 75486868 94358585 113230302 188717170 226460604 283075755 377434340 566151510 1132303020