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3100020120 = 233358334583
BaseRepresentation
bin1011100011000110…
…1000110110011000
322000001020100011000
42320301220312120
522322101120440
61231340105000
7136551510351
oct27061506630
98001210130
103100020120
111350975aaa
12726235160
133a5334242
14215a00d28
1513224e730
hexb8c68d98

3100020120 has 128 divisors (see below), whose sum is σ = 10458201600. Its totient is φ = 816688512.

The previous prime is 3100020083. The next prime is 3100020137. The reversal of 3100020120 is 210200013.

It is a happy number.

It is a super-2 number, since 2×31000201202 = 19220249488809628800, which contains 22 as substring.

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

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, 72349 + ... + 106931.

It is an arithmetic number, because the mean of its divisors is an integer number (81704700).

Almost surely, 23100020120 is an apocalyptic number.

3100020120 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 3100020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229100800).

3100020120 is an abundant number, since it is smaller than the sum of its proper divisors (7358181480).

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

3100020120 is a wasteful number, since it uses less digits than its factorization.

3100020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34686 (or 34676 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3100020120 is about 55677.8243109409. The cubic root of 3100020120 is about 1458.1028903324.

Adding to 3100020120 its reverse (210200013), we get a palindrome (3310220133).

The spelling of 3100020120 in words is "three billion, one hundred million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 83 90 108 120 135 166 180 216 249 270 332 360 415 498 540 664 747 830 996 1080 1245 1494 1660 1992 2241 2490 2988 3320 3735 4482 4980 5976 7470 8964 9960 11205 14940 17928 22410 29880 34583 44820 69166 89640 103749 138332 172915 207498 276664 311247 345830 414996 518745 622494 691660 829992 933741 1037490 1244988 1383320 1556235 1867482 2074980 2489976 2870389 3112470 3734964 4149960 4668705 5740778 6224940 7469928 8611167 9337410 11481556 12449880 14351945 17222334 18674820 22963112 25833501 28703890 34444668 37349640 43055835 51667002 57407780 68889336 77500503 86111670 103334004 114815560 129167505 155001006 172223340 206668008 258335010 310002012 344446680 387502515 516670020 620004024 775005030 1033340040 1550010060 3100020120