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2031203100 = 2235273137677
BaseRepresentation
bin111100100010001…
…1011001100011100
312020120001210211110
41321010123030130
513124441444400
6533315422020
7101222640633
oct17104331434
95216053743
102031203100
11952619a53
124882b4910
13264a80b34
14153a9c51a
15bd4c7e50
hex7911b31c

2031203100 has 144 divisors (see below), whose sum is σ = 6009802848. Its totient is φ = 529551360.

The previous prime is 2031203087. The next prime is 2031203101. The reversal of 2031203100 is 13021302.

It is a happy number.

It is a super-2 number, since 2×20312031002 = 8251572066899220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031203101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2999962 + ... + 3000638.

It is an arithmetic number, because the mean of its divisors is an integer number (41734742).

Almost surely, 22031203100 is an apocalyptic number.

2031203100 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 2031203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004901424).

2031203100 is an abundant number, since it is smaller than the sum of its proper divisors (3978599748).

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

2031203100 is a wasteful number, since it uses less digits than its factorization.

2031203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 897 counting only the distinct ones).

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

The square root of 2031203100 is about 45068.8706315124. The cubic root of 2031203100 is about 1266.4395075872.

Adding to 2031203100 its reverse (13021302), we get a palindrome (2044224402).

It can be divided in two parts, 2031 and 203100, that multiplied together give a square (412496100 = 203102).

The spelling of 2031203100 in words is "two billion, thirty-one million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 137 146 150 219 274 292 300 365 411 438 548 677 685 730 822 876 1095 1354 1370 1460 1644 1825 2031 2055 2190 2708 2740 3385 3425 3650 4062 4110 4380 5475 6770 6850 7300 8124 8220 10001 10155 10275 10950 13540 13700 16925 20002 20310 20550 21900 30003 33850 40004 40620 41100 49421 50005 50775 60006 67700 92749 98842 100010 101550 120012 148263 150015 185498 197684 200020 203100 247105 250025 278247 296526 300030 370996 463745 494210 500050 556494 593052 600060 741315 750075 927490 988420 1000100 1112988 1235525 1391235 1482630 1500150 1854980 2318725 2471050 2782470 2965260 3000300 3706575 4637450 4942100 5564940 6770677 6956175 7413150 9274900 13541354 13912350 14826300 20312031 27082708 27824700 33853385 40624062 67706770 81248124 101560155 135413540 169266925 203120310 338533850 406240620 507800775 677067700 1015601550 2031203100