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2031012120 = 2335314312697
BaseRepresentation
bin111100100001110…
…1100100100011000
312020112201002212010
41321003230210120
513124414341440
6533311345520
7101221214064
oct17103544430
95215632763
102031012120
119524a9515
124882222a0
13264a14c27
14153a4caa4
15bd48b580
hex790ec918

2031012120 has 128 divisors (see below), whose sum is σ = 6436362240. Its totient is φ = 511902720.

The previous prime is 2031012097. The next prime is 2031012133. The reversal of 2031012120 is 212101302.

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 = 2031012096 and 2031012105.

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, 153612 + ... + 166308.

It is an arithmetic number, because the mean of its divisors is an integer number (50284080).

Almost surely, 22031012120 is an apocalyptic number.

2031012120 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 2031012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218181120).

2031012120 is an abundant number, since it is smaller than the sum of its proper divisors (4405350120).

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

2031012120 is a wasteful number, since it uses less digits than its factorization.

2031012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12785 (or 12781 counting only the distinct ones).

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

The square root of 2031012120 is about 45066.7518243771. The cubic root of 2031012120 is about 1266.3998148228.

Adding to 2031012120 its reverse (212101302), we get a palindrome (2243113422).

The spelling of 2031012120 in words is "two billion, thirty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 43 60 62 86 93 120 124 129 155 172 186 215 248 258 310 344 372 430 465 516 620 645 744 860 930 1032 1240 1290 1333 1720 1860 2580 2666 3720 3999 5160 5332 6665 7998 10664 12697 13330 15996 19995 25394 26660 31992 38091 39990 50788 53320 63485 76182 79980 101576 126970 152364 159960 190455 253940 304728 380910 393607 507880 545971 761820 787214 1091942 1180821 1523640 1574428 1637913 1968035 2183884 2361642 2729855 3148856 3275826 3936070 4367768 4723284 5459710 5904105 6551652 7872140 8189565 9446568 10919420 11808210 13103304 15744280 16379130 16925101 21838840 23616420 32758260 33850202 47232840 50775303 65516520 67700404 84625505 101550606 135400808 169251010 203101212 253876515 338502020 406202424 507753030 677004040 1015506060 2031012120