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2311020120 = 2335171378269
BaseRepresentation
bin1000100110111111…
…0101111001011000
312222001120222121210
42021233311321120
514213110120440
61021153103120
7111161226663
oct21157657130
95861528553
102311020120
11a86568692
12545b57aa0
132aaa33136
1417ccda6da
15d7d4ba80
hex89bf5e58

2311020120 has 128 divisors (see below), whose sum is σ = 7395364800. Its totient is φ = 575717376.

The previous prime is 2311020113. The next prime is 2311020149. The reversal of 2311020120 is 210201132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2311020096 and 2311020105.

It is a congruent number.

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, 275346 + ... + 283614.

Almost surely, 22311020120 is an apocalyptic number.

2311020120 is a gapful number since it is divisible by the number (20) 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 2311020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697682400).

2311020120 is an abundant number, since it is smaller than the sum of its proper divisors (5084344680).

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

2311020120 is a wasteful number, since it uses less digits than its factorization.

2311020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8437 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2311020120 is about 48073.0706321117. The cubic root of 2311020120 is about 1322.1109703203.

Adding to 2311020120 its reverse (210201132), we get a palindrome (2521221252).

The spelling of 2311020120 in words is "two billion, three hundred eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 137 170 204 255 274 340 408 411 510 548 680 685 822 1020 1096 1370 1644 2040 2055 2329 2740 3288 4110 4658 5480 6987 8220 8269 9316 11645 13974 16440 16538 18632 23290 24807 27948 33076 34935 41345 46580 49614 55896 66152 69870 82690 93160 99228 124035 139740 140573 165380 198456 248070 279480 281146 330760 421719 496140 562292 702865 843438 992280 1124584 1132853 1405730 1686876 2108595 2265706 2811460 3373752 3398559 4217190 4531412 5622920 5664265 6797118 8434380 9062824 11328530 13594236 16868760 16992795 19258501 22657060 27188472 33985590 38517002 45314120 57775503 67971180 77034004 96292505 115551006 135942360 154068008 192585010 231102012 288877515 385170020 462204024 577755030 770340040 1155510060 2311020120