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2023101120 = 263513116087
BaseRepresentation
bin111100010010110…
…0001001011000000
312012222211012000010
41320211201023000
513120403213440
6532430024520
7101064034665
oct17045411300
95188735003
102023101120
11948a958a7
12485648140
132631a5171
1415298da6c
15bc927580
hex789612c0

2023101120 has 112 divisors (see below), whose sum is σ = 6472781568. Its totient is φ = 535342080.

The previous prime is 2023101071. The next prime is 2023101131. The reversal of 2023101120 is 211013202.

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 = 2023101096 and 2023101105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117717 + ... + 133803.

Almost surely, 22023101120 is an apocalyptic number.

2023101120 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 2023101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236390784).

2023101120 is an abundant number, since it is smaller than the sum of its proper divisors (4449680448).

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

2023101120 is a wasteful number, since it uses less digits than its factorization.

2023101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16238 (or 16228 counting only the distinct ones).

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

The square root of 2023101120 is about 44978.8963848603. The cubic root of 2023101120 is about 1264.7534230662.

Adding to 2023101120 its reverse (211013202), we get a palindrome (2234114322).

The spelling of 2023101120 in words is "two billion, twenty-three million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 131 160 192 240 262 320 393 480 524 655 786 960 1048 1310 1572 1965 2096 2620 3144 3930 4192 5240 6288 7860 8384 10480 12576 15720 16087 20960 25152 31440 32174 41920 48261 62880 64348 80435 96522 125760 128696 160870 193044 241305 257392 321740 386088 482610 514784 643480 772176 965220 1029568 1286960 1544352 1930440 2107397 2573920 3088704 3860880 4214794 5147840 6322191 7721760 8429588 10536985 12644382 15443520 16859176 21073970 25288764 31610955 33718352 42147940 50577528 63221910 67436704 84295880 101155056 126443820 134873408 168591760 202310112 252887640 337183520 404620224 505775280 674367040 1011550560 2023101120