Search a number
-
+
312100230100 = 225219292195319
BaseRepresentation
bin1001000101010101001…
…11111001001111010100
31002211120210122101221111
410202222213321033110
520103140124330400
6355213223024404
731356064120201
oct4425247711724
91084523571844
10312100230100
111103a749726a
12505a189b104
132357a987889
141116a1b0ca8
1581b9b2c3ba
hex48aa9f93d4

312100230100 has 108 divisors (see below), whose sum is σ = 738336944800. Its totient is φ = 114190715520.

The previous prime is 312100230011. The next prime is 312100230103. The reversal of 312100230100 is 1032001213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312100230103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1500241 + ... + 1695559.

Almost surely, 2312100230100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312100230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369168472400).

312100230100 is an abundant number, since it is smaller than the sum of its proper divisors (426236714700).

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

312100230100 is a wasteful number, since it uses less digits than its factorization.

312100230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195410 (or 195374 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 312100230100 its reverse (1032001213), we get a palindrome (313132231313).

The spelling of 312100230100 in words is "three hundred twelve billion, one hundred million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 841 950 1102 1450 1682 1900 2204 2755 2900 3364 4205 5510 8410 11020 13775 15979 16820 21025 27550 31958 42050 55100 63916 79895 84100 159790 195319 319580 390638 399475 781276 798950 976595 1597900 1953190 3711061 3906380 4882975 5664251 7422122 9765950 11328502 14844244 18555305 19531900 22657004 28321255 37110610 56642510 74221220 92776525 107620769 113285020 141606275 164263279 185553050 215241538 283212550 328526558 371106100 430483076 538103845 566425100 657053116 821316395 1076207690 1642632790 2152415380 2690519225 3121002301 3285265580 4106581975 5381038450 6242004602 8213163950 10762076900 12484009204 15605011505 16426327900 31210023010 62420046020 78025057525 156050115050 312100230100