Search a number
-
+
3201313100 = 2252173211877
BaseRepresentation
bin1011111011010000…
…0010100101001100
322021002211112222212
42332310002211030
523024014004400
61245355125552
7142221466226
oct27664024514
98232745885
103201313100
1113a306aa07
127541438b8
133c030b40b
1422524b416
1513b0ac335
hexbed0294c

3201313100 has 72 divisors (see below), whose sum is σ = 7028123088. Its totient is φ = 1265644800.

The previous prime is 3201313091. The next prime is 3201313183. The reversal of 3201313100 is 13131023.

It is a super-2 number, since 2×32013131002 = 20496811128463220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3649862 + ... + 3650738.

Almost surely, 23201313100 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 3201313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514061544).

3201313100 is an abundant number, since it is smaller than the sum of its proper divisors (3826809988).

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

3201313100 is a wasteful number, since it uses less digits than its factorization.

3201313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3201313100 is about 56580.1475784572. The cubic root of 3201313100 is about 1473.8141344658.

Adding to 3201313100 its reverse (13131023), we get a palindrome (3214444123).

The spelling of 3201313100 in words is "three billion, two hundred one million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 211 346 422 692 844 865 877 1055 1730 1754 2110 3460 3508 4220 4325 4385 5275 8650 8770 10550 17300 17540 21100 21925 36503 43850 73006 87700 146012 151721 182515 185047 303442 365030 370094 606884 730060 740188 758605 912575 925235 1517210 1825150 1850470 3034420 3650300 3700940 3793025 4626175 7586050 9252350 15172100 18504700 32013131 64026262 128052524 160065655 320131310 640262620 800328275 1600656550 3201313100