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312160300690 = 2571915710611409
BaseRepresentation
bin1001000101011100011…
…01000010111010010010
31002211201222200022022011
410202232031002322102
520103301014110230
6355223210333134
731360423530130
oct4425615027222
91084658608264
10312160300690
11110428396187
12505b9a2a1aa
132358a25a9c4
141117416a750
1581c0045e2a
hex48ae342e92

312160300690 has 128 divisors (see below), whose sum is σ = 681385996800. Its totient is φ = 100581212160.

The previous prime is 312160300687. The next prime is 312160300691. The reversal of 312160300690 is 96003061213.

It is a super-2 number, since 2×3121603006902 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312160300691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221546706 + ... + 221548114.

It is an arithmetic number, because the mean of its divisors is an integer number (5323328100).

Almost surely, 2312160300690 is an apocalyptic number.

312160300690 is an abundant number, since it is smaller than the sum of its proper divisors (369225696110).

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

312160300690 is a wasteful number, since it uses less digits than its factorization.

312160300690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 312160300690 in words is "three hundred twelve billion, one hundred sixty million, three hundred thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 157 190 266 314 665 785 1061 1099 1330 1409 1570 2122 2198 2818 2983 5305 5495 5966 7045 7427 9863 10610 10990 14090 14854 14915 19726 20159 20881 26771 29830 37135 40318 41762 49315 53542 74270 98630 100795 104405 133855 141113 166577 187397 201590 208810 221213 267710 282226 333154 374794 442426 705565 832885 936985 1106065 1166039 1411130 1494949 1548491 1665770 1873970 2212130 2332078 2989898 3096982 3164963 4203047 5830195 6329926 7474745 7742455 8406094 10464643 11660390 14949490 15484910 15824815 20929286 21015235 22154741 28404031 29421329 31649630 42030470 44309482 52323215 56808062 58842658 104646430 110773705 142020155 147106645 198828217 221547410 234706993 284040310 294213290 397656434 469413986 994141085 1173534965 1642948951 1988282170 2347069930 3285897902 4459432867 8214744755 8918865734 16429489510 22297164335 31216030069 44594328670 62432060138 156080150345 312160300690