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2300031120 = 243541233743
BaseRepresentation
bin1000100100010111…
…1011000010010000
312221021220200112210
42021011323002100
514202301443440
61020121352120
7110665641042
oct21105730220
95837820483
102300031120
11a80342472
12542338640
132a868637a
1417b679a92
15d6dcaa80
hex8917b090

2300031120 has 80 divisors (see below), whose sum is σ = 7304032512. Its totient is φ = 598379520.

The previous prime is 2300031113. The next prime is 2300031131. The reversal of 2300031120 is 211300032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2300031096 and 2300031105.

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, 107032 + ... + 126711.

Almost surely, 22300031120 is an apocalyptic number.

2300031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300031120 is an abundant number, since it is smaller than the sum of its proper divisors (5004001392).

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

2300031120 is a wasteful number, since it uses less digits than its factorization.

2300031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233800 (or 233794 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2300031120 is about 47958.6396804580. The cubic root of 2300031120 is about 1320.0120751880.

Adding to 2300031120 its reverse (211300032), we get a palindrome (2511331152).

The spelling of 2300031120 in words is "two billion, three hundred million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 233743 467486 701229 934972 1168715 1402458 1869944 2337430 2804916 3506145 3739888 4674860 5609832 7012290 9349720 9583463 11219664 14024580 18699440 19166926 28049160 28750389 38333852 47917315 56098320 57500778 76667704 95834630 115001556 143751945 153335408 191669260 230003112 287503890 383338520 460006224 575007780 766677040 1150015560 2300031120