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3023001120 = 25359764927
BaseRepresentation
bin1011010000101111…
…0101011000100000
321210200022100221110
42310023311120200
522142342013440
61215545223320
7134625041226
oct26413653040
97720270843
103023001120
111311450537
12704491b40
133923a8979
142096b2b16
1512a5d9080
hexb42f5620

3023001120 has 96 divisors (see below), whose sum is σ = 9620771328. Its totient is φ = 797810688.

The previous prime is 3023001119. The next prime is 3023001127. The reversal of 3023001120 is 211003203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 3023001096 and 3023001105.

It is not an unprimeable number, because it can be changed into a prime (3023001127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14097 + ... + 79023.

It is an arithmetic number, because the mean of its divisors is an integer number (100216368).

Almost surely, 23023001120 is an apocalyptic number.

3023001120 is a gapful number since it is divisible by the number (30) 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 3023001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810385664).

3023001120 is an abundant number, since it is smaller than the sum of its proper divisors (6597770208).

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

3023001120 is a wasteful number, since it uses less digits than its factorization.

3023001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65042 (or 65034 counting only the distinct ones).

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

The square root of 3023001120 is about 54981.8253607499. The cubic root of 3023001120 is about 1445.9261185563.

Adding to 3023001120 its reverse (211003203), we get a palindrome (3234004323).

The spelling of 3023001120 in words is "three billion, twenty-three million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1455 1552 1940 2328 2910 3104 3880 4656 5820 7760 9312 11640 15520 23280 46560 64927 129854 194781 259708 324635 389562 519416 649270 779124 973905 1038832 1298540 1558248 1947810 2077664 2597080 3116496 3895620 5194160 6232992 6297919 7791240 10388320 12595838 15582480 18893757 25191676 31164960 31489595 37787514 50383352 62979190 75575028 94468785 100766704 125958380 151150056 188937570 201533408 251916760 302300112 377875140 503833520 604600224 755750280 1007667040 1511500560 3023001120