Search a number
-
+
2031002100 = 223452250741
BaseRepresentation
bin111100100001110…
…1010000111110100
312020112200121010000
41321003222013310
513124414031400
6533311231300
7101221142631
oct17103520764
95215617100
102031002100
119524a1a36
12488218530
13264a104ba
14153a49188
15bd488600
hex790ea1f4

2031002100 has 90 divisors (see below), whose sum is σ = 6583732694. Its totient is φ = 541598400.

The previous prime is 2031002081. The next prime is 2031002167. The reversal of 2031002100 is 12001302.

It is a happy number.

2031002100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 174081636 + 1856920464 = 13194^2 + 43092^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 29 ways as a sum of consecutive naturals, for example, 117271 + ... + 133470.

Almost surely, 22031002100 is an apocalyptic number.

2031002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031002100 is an abundant number, since it is smaller than the sum of its proper divisors (4552730594).

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

2031002100 is a wasteful number, since it uses less digits than its factorization.

2031002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250767 (or 250751 counting only the distinct ones).

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

The square root of 2031002100 is about 45066.6406558110. The cubic root of 2031002100 is about 1266.3977322246.

Adding to 2031002100 its reverse (12001302), we get a palindrome (2043003402).

The spelling of 2031002100 in words is "two billion, thirty-one million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 250741 501482 752223 1002964 1253705 1504446 2256669 2507410 3008892 3761115 4513338 5014820 6268525 6770007 7522230 9026676 11283345 12537050 13540014 15044460 18805575 20310021 22566690 25074100 27080028 33850035 37611150 40620042 45133380 56416725 67700070 75222300 81240084 101550105 112833450 135400140 169250175 203100210 225666900 338500350 406200420 507750525 677000700 1015501050 2031002100