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1112011020 = 2232541532843
BaseRepresentation
bin100001001000111…
…1111000100001100
32212111110000100100
41002101333010030
54234133323040
6302202131100
736361636431
oct10221770414
92774400310
101112011020
1152077937a
122704b0a90
131494c79b3
14a7987b88
1567959b30
hex4247f10c

1112011020 has 144 divisors (see below), whose sum is σ = 3521804832. Its totient is φ = 283745280.

The previous prime is 1112011001. The next prime is 1112011027. The reversal of 1112011020 is 201102111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1112010993 and 1112011011.

It is not an unprimeable number, because it can be changed into a prime (1112011027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389719 + ... + 392561.

It is an arithmetic number, because the mean of its divisors is an integer number (24456978).

Almost surely, 21112011020 is an apocalyptic number.

1112011020 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 1112011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760902416).

1112011020 is an abundant number, since it is smaller than the sum of its proper divisors (2409793812).

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

1112011020 is a wasteful number, since it uses less digits than its factorization.

1112011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1112011020 is about 33346.8292345764. The cubic root of 1112011020 is about 1036.0237158100.

Adding to 1112011020 its reverse (201102111), we get a palindrome (1313113131).

The spelling of 1112011020 in words is "one billion, one hundred twelve million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 53 60 82 90 106 123 159 164 180 205 212 246 265 318 369 410 477 492 530 615 636 738 795 820 954 1060 1230 1476 1590 1845 1908 2173 2385 2460 2843 3180 3690 4346 4770 5686 6519 7380 8529 8692 9540 10865 11372 13038 14215 17058 19557 21730 25587 26076 28430 32595 34116 39114 42645 43460 51174 56860 65190 78228 85290 97785 102348 116563 127935 130380 150679 170580 195570 233126 255870 301358 349689 391140 452037 466252 511740 582815 602716 699378 753395 904074 1049067 1165630 1356111 1398756 1506790 1748445 1808148 2098134 2260185 2331260 2712222 3013580 3496890 4196268 4520370 5245335 5424444 6177839 6780555 6993780 9040740 10490670 12355678 13561110 18533517 20981340 24711356 27122220 30889195 37067034 55600551 61778390 74134068 92667585 111201102 123556780 185335170 222402204 278002755 370670340 556005510 1112011020