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31020120 = 23325199433
BaseRepresentation
bin111011001010…
…1010001011000
32011100222121100
41312111101120
530420120440
63024511400
7524444445
oct166252130
964328540
1031020120
111656796a
12a47b560
136571401
1441969cc
152acb230
hex1d95458

31020120 has 96 divisors (see below), whose sum is σ = 101556000. Its totient is φ = 8211456.

The previous prime is 31020107. The next prime is 31020127. The reversal of 31020120 is 2102013.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71424 + ... + 71856.

It is an arithmetic number, because the mean of its divisors is an integer number (1057875).

Almost surely, 231020120 is an apocalyptic number.

31020120 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 31020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50778000).

31020120 is an abundant number, since it is smaller than the sum of its proper divisors (70535880).

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

31020120 is a wasteful number, since it uses less digits than its factorization.

31020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 642 counting only the distinct ones).

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

The square root of 31020120 is about 5569.5708990909. The cubic root of 31020120 is about 314.2060124539.

Adding to 31020120 its reverse (2102013), we get a palindrome (33122133).

The spelling of 31020120 in words is "thirty-one million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 199 360 398 433 597 796 866 995 1194 1299 1592 1732 1791 1990 2165 2388 2598 2985 3464 3582 3897 3980 4330 4776 5196 5970 6495 7164 7794 7960 8660 8955 10392 11940 12990 14328 15588 17320 17910 19485 23880 25980 31176 35820 38970 51960 71640 77940 86167 155880 172334 258501 344668 430835 517002 689336 775503 861670 1034004 1292505 1551006 1723340 2068008 2585010 3102012 3446680 3877515 5170020 6204024 7755030 10340040 15510060 31020120