Search a number
-
+
312123113220 = 2235231097206177
BaseRepresentation
bin1001000101010111111…
…11001011111100000100
31002211122101200222200110
410202223333023330010
520103212004110340
6355215401313020
731356462454632
oct4425377137404
91084571628613
10312123113220
111104093a6736
12505a9495770
132358263a399
141116d24a352
1581bbb4c680
hex48abfcbf04

312123113220 has 96 divisors (see below), whose sum is σ = 912778046208. Its totient is φ = 79541051392.

The previous prime is 312123113209. The next prime is 312123113231. The reversal of 312123113220 is 22311321213.

It is an interprime number because it is at equal distance from previous prime (312123113209) and next prime (312123113231).

It is a super-2 number, since 2×3121231132202 (a number of 24 digits) contains 22 as substring.

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, 1410772 + ... + 1616948.

It is an arithmetic number, because the mean of its divisors is an integer number (9508104648).

Almost surely, 2312123113220 is an apocalyptic number.

312123113220 is a gapful number since it is divisible by the number (30) 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 312123113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456389023104).

312123113220 is an abundant number, since it is smaller than the sum of its proper divisors (600654932988).

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

312123113220 is a wasteful number, since it uses less digits than its factorization.

312123113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207309 (or 207307 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 312123113220 its reverse (22311321213), we get a palindrome (334434434433).

The spelling of 312123113220 in words is "three hundred twelve billion, one hundred twenty-three million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1097 1380 2194 3291 4388 5485 6582 10970 13164 16455 21940 25231 32910 50462 65820 75693 100924 126155 151386 206177 252310 302772 378465 412354 504620 618531 756930 824708 1030885 1237062 1513860 2061770 2474124 3092655 4123540 4742071 6185310 9484142 12370620 14226213 18968284 23710355 28452426 47420710 56904852 71131065 94841420 142262130 226176169 284524260 452352338 678528507 904704676 1130880845 1357057014 2261761690 2714114028 3392642535 4523523380 5202051887 6785285070 10404103774 13570570140 15606155661 20808207548 26010259435 31212311322 52020518870 62424622644 78030778305 104041037740 156061556610 312123113220